Answer
$x=6$ or $x=12$
Work Step by Step
$|\frac{2}{3}x-6|-2=0$
Applying absolute rule:
$|\frac{2}{3}x-6|=2$ or $|\frac{2}{3}x-6|=-2$
So:
$\frac{2}{3}x-6=2$
$\frac{2}{3}x=8$
$\frac{\frac{2}{3}}{\frac{2}{3}}x=\frac{8}{\frac{2}{3}}$
$x=12$
or
$\frac{2}{3}x-6=-2$
$\frac{2}{3}x= 4$
$\frac{\frac{2}{3}}{\frac{2}{3}}x=\frac{4}{\frac{2}{3}}$
$x=6$
