Answer
$x=-\displaystyle \frac{2}{3}$
Work Step by Step
Apply absolute rule: $\quad $ If $|u|\leq 0$ then $u=0$
$ 3x+2=0\qquad$...Subtract 2 from both sides.Simplify
$ 3x=-2\qquad$...Divide both sides by 3
$x=\displaystyle \frac{-2}{3}$