1/3 +5/s-4=2

s-4/3(s-4) +5(3)/3(s-4)=2/3(s-4)
s-4+15=2
s-4+15-2=0
s-4+13=0
s=9

Do you mean

(1/3) + 5/(s-4) = 2 ????

if so then multiply everything by 3(s-4)

(s-4) + 15 = 6(s-4)

15 = 5 (s-4)

3 = s-4

s = 9 Yes, I agree all the way.