【【解分式方程】】:x/(x-2) - (x-1)/(x^2-5x+6)=2/(x-3)

x/(x-2) - (x-1)/(x²-5x+6)=2/(x-3)
∵x²-5x+6=（x-2）*(x-3)≠0
∴x≠2,且x≠3
两边同时乘以（x-2）*(x-3)得
X(x-3)-(x-1)=2(x-2)
X²-3x-x+1=2x-4
X²-6x+5=0
(x-1)*(x-5)=0
x-1=0,或x-5-0
x=1,或x=5