Answer
$x=-\dfrac{5}{3}$ or $x=3$
Work Step by Step
Put all constants on the right side:
\begin{align*}
|2-3x|&=9-2\\
|2-3x|&=7
\end{align*}
Use the rule $|a|=b \longrightarrow a=b \text{ or } a=-b$ then solve each equation to obtain:
\begin{align*}
2-3x &= 7 &\text{or}& &2-3x=-7\\\\
-3x&=7-2 &\text{or}& &-3x=-7-2\\\\
-3x&=5 &\text{or}& &-3x=-9\\\\
x&=-\frac{5}{3} &\text{or}& &x=\frac{-9}{-3}\\\\
& && &x=3
\end{align*}