How to solve one-step equations with integers in pre-algebra - High School Math
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To isolate 
on one side, subtract seven from both sides
To isolate
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To solve the equation for 
, you must isolate 
on one side. Here you can divide both sides by 3.
To solve the equation for
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Solve for 
:
Solve for
Remembering the final goal is to get the 
alone on one side of the equation.
To get rid of the 
, we perform the opposite operation. We add 
to each side of the equation, cancelling out the 
on the left side.
This brings the equation to 
.
Remembering the final goal is to get the
To get rid of the
This brings the equation to
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If 
what is 
?
If
If 
you put 
in for 
. Therefore it becomes 
.
Finally,
If
Finally,
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Simplify:
Simplify:
First you multiply the coefficients 
.
Then you multiply 
According to the laws of exponents, when you multiply two numbers with similar bases (both 
in this case) then you simply add the exponents 
.
Therefore, the final answer is 
.
First you multiply the coefficients
Then you multiply
Therefore, the final answer is
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Solve the following equation for 
.
Solve the following equation for
In order to solve a one step equation, we want to isolate the variable. To do this, we pay special attention to what is being done to the variable. In this case we are multiplying the variable by 
. To "undo" this, we use the inverse of multiplication, which is division; thus we divide by 
on both sides. Note that we are dividing by 
since that is what is being multiplied; don't be tricked into dividing by 
.
Dividing both sides by 
, we get 
.
In order to solve a one step equation, we want to isolate the variable. To do this, we pay special attention to what is being done to the variable. In this case we are multiplying the variable by
Dividing both sides by
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Solve for 
.
Solve for
To solve equations, you must perform the same operations on both sides.
Subtract 5 from both sides.
To solve equations, you must perform the same operations on both sides.
Subtract 5 from both sides.
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Solve for 
if 
Solve for
To solve for 
we must get all of the numbers on the other side of the equation as 
.
To do this in a problem where a number is being added to 
, we must subtract the number from both sides of the equation.
In this case the number is 
so we subtract 
from each side of the equation to make it look like this 
The 
's on the left side cancel to get 
Then we perform the necessary subtraction to get the answer of 
.
To solve for
To do this in a problem where a number is being added to
In this case the number is
The
Then we perform the necessary subtraction to get the answer of
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Solve for 
if 
.
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.
In this case the number is 
so we divide each side of the equation by 
to make it look like this 
.
The 
s cancel to leave by itself.
Then we perform the necessary division to get the answer of 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary division to get the answer of
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Solve for if 
?
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.
In this case the number is 
so we add 
to each side of the equation to make it look like this 
The 
s cancel on the left side and leave by itself.
Then we perform the necessary addition to get the answer of 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary addition to get the answer of
Compare your answer with the correct one above
Solve for if
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.
In this case the number is 
so we multiply each side of the equation by 
to make it look like this
The 
's on the left side cancel so we only have .
Then we perform the necessary multiplication to get the answer of 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary multiplication to get the answer of
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Solve for 
if 
Solve for
To solve for 
we must get all of the numbers on the other side of the equation of 
.
To do this in a problem where 
is being divided by a number, we must multiply both sides of the equation by the number.
In this case the number is 
so we multiply each side of the equation by 
to make it look like this 
The 
's on the left side cancel so we only have 
.
Then we perform the necessary multiplication to get the answer of 
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary multiplication to get the answer of
Compare your answer with the correct one above
Solve for if 
Solve for
To solve for we must get all of the numbers on the other side of the equation as 
.
To do this in a problem where a number is being added to 
, we must subtract the number from both sides of the equation.
In this case the number is 
so we subtract 
from each side of the equation to make it look like this 
The 
's on the left side cancel to get 
Then we perform the necessary subtraction to get the answer of 
.
To solve for
To do this in a problem where a number is being added to
In this case the number is
The
Then we perform the necessary subtraction to get the answer of
Compare your answer with the correct one above
Solve for if 
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.
In this case the number is 
so we divide each side of the equation by 
to make it look like this 
The 
's cancel to leave 
by itself.
Then we perform the necessary division to get the answer of 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary division to get the answer of
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Solve for 
.
Solve for
To solve, you want to isolate the 
on one side.
To get ride of the 
, you add 
to both sides.
Then you divide by 
on both sides.
To solve, you want to isolate the
To get ride of the
Then you divide by
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Solve for if 
.
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.
In this case the number is 
so we subtract 
from each side of the equation to make it look like this 
The 
's on the left side cancel to get 
Then we perform the necessary subtraction to get the answer of 
.
To solve for
To do this in a problem where a number is being added to
In this case the number is
The
Then we perform the necessary subtraction to get the answer of
Compare your answer with the correct one above
Solve for if
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.
In this case the number is 
so we multiply each side of the equation by 
to make it look like this
The 
's on the left side cancel so we only have .
Then we perform the necessary multiplication to get the answer of 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary multiplication to get the answer of
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Solve for if 
.
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.
In this case the number is 
so we add 
to each side of the equation to make it look like this 
The 
s cancel on the left side and leave 
by itself.
Then we perform the necessary addition to get the answer of 
The answer is 
.
To solve for
To do this in a problem where
In this case the number is
The
Then we perform the necessary addition to get the answer of
The answer is
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Solve for if 
.
Solve for
Divide each side of the equation by 
to isolate x: 
The 
s on the left side of the equation cancel to leave by itself.
The answer is therefore 
.
Divide each side of the equation by
The
The answer is therefore
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Solve for 
if
Solve for
To solve for we must get all of the numbers on the other side of the equation as .
To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.
In this case the number is 
so we subtract 
from each side of the equation to make it look like this 
The 
s on the left side cancel to get 
Then we perform the necessary subtraction to get the answer of 
.
To solve for
To do this in a problem where a number is being added to
In this case the number is
The
Then we perform the necessary subtraction to get the answer of
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