This is quite simple to simplify.
\(-4 < x-2 < \hspace{1mm} 3 \\ +2 \hspace{8mm} + 2 \hspace{1mm} +2 \\ \overline{\quad\quad\quad\quad\quad\quad\quad}\\ -2 < x < \hspace{8mm} 5\)
When this inequality is represented via a number line graph, it looks like this: