Answer
$x=2, x=\frac{2}{3}$
Work Step by Step
When undoing the absolute value, you must solve the regular equation for $x$, and then you must make the right side negative and solve again.
$|3x-4|=2$
$3x-4=2$
$3x=6$
$x=2$
$3x-4=-2$
$3x=2$
$x=\frac{2}{3}$