# How do you solve -3x - 14= 22?

May 12, 2018

$x = - 12$

#### Explanation:

$- 3 x - 14 = 22$

To solve for the variable $x$, we have to make it alone. To do so, first add $\textcolor{b l u e}{14}$ to both sides of the equation:
$- 3 x - 14 \quad \textcolor{b l u e}{+ \quad 14} = 22 \quad \textcolor{b l u e}{+ \quad 14}$

$- 3 x = 36$

Now divide both sides by $\textcolor{b l u e}{- 3}$:
$\frac{- 3 x}{\textcolor{b l u e}{- 3}} = \frac{36}{\textcolor{b l u e}{- 3}}$

Therefore,
$x = - 12$

Hope this helps!