Answer
$x=-\frac{4}{5},4$
Work Step by Step
The absolute value of multiple terms will change the other side to positive or negative when simplified.
$2|4-\frac{5}{2}x|+6=18$
$2|4-\frac{5}{2}x|=12$
$|4-\frac{5}{2}x|=6$
$4-\frac{5}{2}x=6$
$\frac{5}{2}x=-2$
$x=-\frac{4}{5}$
$4-\frac{5}{2}x=-6$
$\frac{5}{2}x=10$
$x=4$
$x=-\frac{4}{5},4$
