Answer
$m=8$.
Work Step by Step
The given equation is
$\Rightarrow 2m-3=13$
Add $3$ to both sides.
$\Rightarrow 2m-3+3=13+3$
Simplify.
$\Rightarrow 2m=16$
Divide both sides by $2$.
$\Rightarrow \frac{2m}{2}=\frac{16}{2}$
Simplify.
$\Rightarrow m=8$.
Check:-
$\Rightarrow 2(8)-3=13$
$\Rightarrow 16-3=13$
$\Rightarrow 13=13$
True.
Hence, the solution is $m=8$.
