# How do you solve -7x-3x+2=-8x-8 ?

Apr 27, 2018

$x = 5$

#### Explanation:

First, add $8 x$ to both sides

$- 7 x - 3 x + 2 + 8 x = - 8 x - 8 + 8 x$

Combine like terms

Left Side: $- 7 x - 3 x + 2 + 8 x$

$- 10 x + 2 + 8 x$

$- 2 x + 2$

Right Side: $- 8 x - 8 + 8 x$

$0 x - 8$

$- 8$

Whole thing

$- 2 x + 2 = - 8$

Now subtract $2$ from both sides

$- 2 x + 2 - 2 = - 8 - 2$

$- 2 x + 0 = - 10$

$- 2 x = - 10$

Divide each side by $- 2$

$\frac{- 2 x}{-} 2 = \frac{- 10}{-} 2$

The negatives cancel on both sides because a negative value divided by another negative value is a positive value

$\frac{2 x}{2} = \frac{10}{2}$

Simplify

$x = 5$