What if you had an equation in which the same variable appeared twice, like
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CK12 Foundation: 0305S Combining Like Terms in TwoStep Equations
Guidance
When we look at a linear equation we see two kinds of terms: those that contain the unknown variable, and those that don’t. When we look at an equation that has an
Like Terms  Unlike Terms 







Example A
To add or subtract like terms, we can use the Distributive Property of Multiplication.
To solve an equation with two or more like terms, we need to combine the terms first.
Example B
Solve
There are two like terms: the
Subtracting 8 from both sides gives us
And finally, multiplying both sides by 1 gives us
Example C
Solve
This problem requires us to deal with fractions. We need to write all the terms on the left over a common denominator of six.
Then we subtract the fractions to get
Finally we multiply both sides by 6 to get
Watch this video for help with the Examples above.
CK12 Foundation: Combing Like Terms in 2 Step Equations
Vocabulary
 Terms with the same variable in them (or no variable in them) are like terms. Combine like terms (adding or subtracting them from each other) to simplify the expression and solve for the unknown.
Guided Practice
Solve
This problem requires us to deal with fractions. We need to write all the terms on the left over a common denominator of ten.
Then we subtract the fractions to get
Finally we multiply both sides by
to get
Explore More
Solve the following equations for the unknown variable.

1.3x−0.7x=12 
−10a−2(a+5)=14 
5(2y−3y)=−20 
23x−15x=1415 
5x−(3x+2)=1 
s−3s8=56 
10(y+5y)=10 
2.3x+2(0.75x−3.5)=7.5 
3(x+2)+5(2−x)=−32 
6x+2(5x−2)=12