You can put this solution on YOUR website! multiply both sides by(m+5)and (m-8)
2(m-8)=4(m+5) multiply out the brackets
2m-16 =4m + 20 subtract 4m from both sides
2m-4m-16 = 20
-2m-16 = 20 add 16 to both sides
-2m = 36 divide both sides by -2
m = -18
Pete