等式左右同时乘以(x-1)(x+2)(x-3)得
(x+2)(x-3)+2(x-1)(x-3)-3(x+2)(x-3)=0
x^2-x-6+2x^2-8x+6-3x^2+x+18=0
整理后得
-8x=-18
x=9/4