# How do you solve 7abs(x + 3 ) = 42?

Jul 22, 2015

$x = 3$ or $x = - 9$

#### Explanation:

If $7 \left\mid x + 3 \right\mid = 42$
then $\left\mid x + 3 \right\mid = 6$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(after dividing both sides by 7)

If $\left(x + 3\right) < 0$
then $\left\mid x + 3 \right\mid = - x - 3 = 6$
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow x = - 9$

if $\left(x + 3\right) \ge 0$
then $\left\mid x + 3 \right\mid = x + 3 = 6$
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow x = 3$