Answer
Solutions:
$x=\frac{5}{3}$ and $x=-3$
Work Step by Step
$|3x+2|=7$
1) The value inside the bars is positive:
$3x+2=7$
$3x=5$
$x=\frac{5}{3}$
2) The value inside the bars is negative:
$-(3x+2)=7$
$3x+2=-7$
$3x=-9$
$x=-3$
Testing:
- $x=\frac{5}{3}$:
$|3(\frac{5}{3})+2|=|5+2|=|7|=7$
- $x=-3$:
$|3(-3)+2|=|-9+2|=|-7|=7$
