Answer
$\color{blue}{(-3,1)}$
Work Step by Step
Subtract $2$ to each part:
\begin{array}{ccccc}
&-7-2 &\lt &2+3x-2 &\lt &5-2
\\&-9 &\lt &3x &\lt &3
\end{array}
Divide each part by $3$:
\begin{array}{ccccc}
\\&\frac{-9}{3} &\lt &\frac{3x}{3} &\lt &\frac{3}{3}
\\&-3 &\lt &x &\lt &1
\end{array}
Thus, the solution to the given inequality in interval notation is $\color{blue}{(-3,1)}$
