Answer
$x=\frac{4}{3},10$
Work Step by Step
To simplify the absolute values, set both sides equal to each other without the bars. Then set them equal again without the bars, but make the right side negative.
$|2x-7|=|x+3|$
$2x-7=x+3$
$2x=x+10$
$x=10$
$2x-7=-x-3$
$2x=-x+4$
$3x=4$
$x=\frac{4}{3}$
$x=\frac{4}{3},10$
