Answer
$x=\frac{1}{3},\frac{7}{3}$
Work Step by Step
The absolute value of multiple terms will change the other side to positive or negative when simplified.
$4|1-\frac{3}{4}x|+7=10$
$4|1-\frac{3}{4}x|=3$
$|1-\frac{3}{4}x|=\frac{3}{4}$
$1-\frac{3}{4}x=\frac{3}{4}$
$\frac{3}{4}x=\frac{1}{4}$
$x=\frac{1}{3}$
$1-\frac{3}{4}x=-\frac{3}{4}$
$\frac{3}{4}x=\frac{7}{4}$
$x=\frac{7}{3}$
$x=\frac{1}{3},\frac{7}{3}$
