Answer
$\color{blue}{\dfrac{6m-4}{3m-4}}$
Work Step by Step
Factor out $-1$ in the denominator of the subtrahend to obtain:
$=\dfrac{m-4}{3m-4} - \dfrac{5m}{-1(-4+3m)}
\\=\dfrac{m-4}{3m-4} - \dfrac{-5m}{3m-4}$
The expressions are similar so subtract the numerators and copy the denominator to obtain:
$=\dfrac{m-4-(-5m)}{3m-4}
\\=\dfrac{m-4+5m}{3m-4}
\\=\color{blue}{\dfrac{6m-4}{3m-4}}$