Answer
$x=-\frac{5}{3},3$
Work Step by Step
The absolute value of multiple terms will change the other side to positive or negative when simplified.
$2|3x-2|=14$
$3x-2=7$
$3x=9$
$x=3$
$3x-2=-7$
$3x=-5$
$x=-\frac{5}{3}$
$x=-\frac{5}{3},3$