Answer
$(-5,3)$
Work Step by Step
Consider the following: $-5\lt5+2x\lt11$
Use the properties of inequalities. Subtract 5 from both sides.
$-10\lt2x\lt6$
Divide by 2.
$\frac{-10}{2}\lt\frac{2x}{2}\lt\frac{6}{2}$
$-5\lt{x}\lt3$
Solution: $(-5,3)$