Answer
$x=\frac{1}{2}$ or $x=3$
Work Step by Step
$-3|4x-7|+15-0=0$
$-3|4x-7|=-15$
$\frac{-3|4x-7|}{-3}=\frac{-15}{-3}$
$|4x-7|=5$
Applying absolute rule, $4x-7=5$ or $4x-7=-5$
So:
$4x-7=5$
$4x=12$
$x=3$
or
$4x-7=-5$
$4x=2$
$x=\frac{1}{2}$