Answer
$(-3,1)$
Work Step by Step
Consider the following: $-7\lt2+3x\lt5$
Use the properties of inequalities. Subtract 2 from both sides.
$-9\lt3x\lt3$
Divide by 3.
$\frac{-9}{3}\lt\frac{3x}{3}\lt\frac{3}{3}$
$-3\lt{x}\lt1$
Solution: $(-3,1)$