Answer
Solutions:
$x=2$ and $x=-5$
Work Step by Step
$|2x+3|=7$
1) The value inside the bars is positive:
$2x+3=7$
$2x=4$
$x=2$
2) The value inside the bars is negative:
$-(2x+3)=7$
$2x+3=-7$
$2x=-10$
$x=-5$
Testing:
- $x=2$:
$|2(2)+3|=|7|=7$
- $x=-5$:
$|2(-5)+3|=|-7|=7$
