Answer
m=-8
Work Step by Step
Original equation
$\frac{m-4}{3}$-$\frac{3m-1}{5}$=1
Multiply through by 15
5(m-4)-3(3m-1)=15
Distribute
5m-20-9m+3=15
Combine like terms
-4m-17=15
Add 17 to both sides
-4m=32
Divide both sides by -4
m=-8