# How do you solve 5(x − 1) = 3(x + 2) − 7?

Jun 3, 2017

$x = 2$

#### Explanation:

1) Distribute the $5$.

$5 x - 5 = 3 x + 6 - 7$

2) Combine like terms on the right side. YOU DON'T CHANGE WHAT IS ON THE LEFT SIDE!

$5 x - 5 = 3 x - 1$

3) Add 5 to BOTH SIDES to keep the equation balanced.

$5 x = 3 x + 4$

4) Subtract 3x from BOTH SIDES to keep the equation balanced.

$2 x = 4$

5) Divide 2 on BOTH SIDES to keep the equation balanced.

$x = 2$

And you are done!