Answer
Solutions are $8,-7$
Work Step by Step
$|\frac{2x-1}{3}| = |-5|$
$|-5| = 5 $, we can write it as
$|\frac{2x-1}{3}| = 5$
This statement is equivalent to
$\frac{2x-1}{3} = 5$ or $\frac{2x-1}{3} = -5$
$2x-1 = 15$ or $2x-1 = -15$
$2x = 15+1 $ or $2x= -15+1$
$2x = 16 $ or $2x= -14$
$x = 8 $ or $x= -7$
Solutions are $8,-7$