(x-5)/4-(x+6)/6 = (5x-5) /9 multiply through by the common denominator of 4,6 and 9 = 36
9(x - 5) - 6(x + 6) = 4(5x - 5) simplify
9x - 45 - 6x - 36 = 20x - 20
3x - 81 = 20x - 20 add 81 to both sides and subtract 20x from both sides
-17x = 61 divide both sides by -17
x = -61/17