Answer
$m=-5/3$
Work Step by Step
$\frac{3}{m-4} +2 = \frac{5m}{m-4}$
$\frac{3}{m-4} +2*\frac{m-4}{m-4} = \frac{5m}{m-4}$
$\frac{3}{m-4} +\frac{2(m-4)}{m-4} = \frac{5m}{m-4}$
$\frac{3}{m-4} +\frac{2m-8}{m-4} = \frac{5m}{m-4}$
$3 +2m-8 = 5m$
$-5+2m=5m$
$-5+2m-2m = 5m-2m$
$-5 = 3m$
$m=-5/3$