# How do you solve -4x - 5= - 11- 2?

Jul 20, 2017

$x = 2$

#### Explanation:

$- 4 x - 5 = - 11 - 2$

Let's combine $- 11$ and $- 2$

$- 4 x - 5 = - 13$

We need to isolate for $x$

add 5 to both sides

$- 4 x = - 8$

divide by $- 4$ on both sides

$x = \frac{- 8}{-} 4$ or $2$

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To check our work, let's plug solve the equation, substituting $\frac{1}{2}$ for $x$:

$- 4 x - 5 = - 11 - 2$

$- 4 \left(\textcolor{red}{2}\right) - 5 = - 11 - 2$

$- 8 - 5 = - 11 - 2$

$- 13 = - 13$

We were right! $x = 2$