x+5/x²-x-3/x=6/x-1

x+5/x²-x-3/x=6/x-1


(3 / x) + 6 / (x-1) - (x + 5) / [x (x-1)] = 0 multiply x (x-1) on both sides of the equation
3(x-1)+6x-(x+5)=0
3x-3+6x-x-5=0
3x+6x-x=3+5
8x=8
x=1