To solve this equation, we will first get rid of the denominators by multiplying each term by the least common multiple of 8, 20, and 12, which is 120.

(120/8)(х-3) + (120/8)(3) = (120/20)(3Х+127) - (120/12)(Х+9)

15(х-3) + 15(3) = 6(3Х+127) - 10(Х+9)

15х - 45 + 45 = 18Х + 762 - 10Х - 90

15х = 8Х + 672

15х - 8х = 672

7х = 672

х = 672/7

х = 96

Therefore, the solution to the equation is x = 96.