Answer
$\dfrac{2}{3}$
Work Step by Step
Subtract $4$ on both sides of the equation to obtain:
$|3x-2|=0$
RECALL:
$|a|=0 \longrightarrow a=0$
Use the rule above with $a=3x-2$ to obtain:
$3x-2 = 0
\\3x = 2
\\x =\frac{2}{3}$
Thus, the solution to the given equation is $\dfrac{2}{3}$.