Answer
$m=2$
Work Step by Step
We are given the equation $3m-5=7m-13$. In order to solve, we can subtract 3m from both sides.
$3m-3m-5=7m-3m-13$
$-5=4m-13$
Add 13 to both sides.
$-5+13=4m-13+13$
$8=4m$
Divide both sides by 4.
$\frac{8}{4}=\frac{4m}{4}$
Therefore, $m=2$.