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-4X²-6x+5=0(x-1)*(x-5)=0x-1=0,或x-5-0x=1,或x=5