Answer
$\left( -\dfrac{7}{2},\dfrac{5}{2} \right)$
Work Step by Step
Using properties of equality, then,
\begin{array}{l}
-2\lt\dfrac{-2x-1}{3}\lt2\\\\
-6\lt-2x-1\lt6\\
-5\lt-2x\lt7\\\\
\dfrac{5}{2}\gt x\gt-\dfrac{7}{2}\\\\
-\dfrac{7}{2}\lt x\lt\dfrac{5}{2}
.\end{array}
In interval notation form, the solution is $
\left( -\dfrac{7}{2},\dfrac{5}{2} \right)
$.