# How do you solve 5x + 2 = 2x - 10?

Mar 23, 2018

$x = - 4$

#### Explanation:

$5 x + 2 = 2 x - 10$

Start by subtracting $2 x$ from both sides

$5 x + 2 - 2 x = 2 x - 10 - 2 x$

$3 x + 2 = - 10$

Add $- 2$ on both sides

$3 x + 2 - 2 = - 10 - 2$

$3 x = - 12$

Divide both sides by $3$

$\frac{3 x}{3} = \frac{- 12}{3}$

$x = - 4$