4/x-3=x+5/5
I assume we have ;
4 / (x-3 ) = (x+5) / 5 cross-multiply
20 = (x - 3) ( x + 5) simplify
20 = x^2 + 2x - 15 subtract 20 from both sides
0 = x^2 + 2x - 35 factor
0 = (x + 7) ( x - 5) set both factors to 0 and x = -7 or x = 5