6/(x-2)=x/(x+3)-1
乘以(x-2)(x+3)得
6(x+3)=x(x-2)-(x-2)(x+3)
6x+18=x²-2x-(x²+x-6)
6x+18=x²-2x-x²-x+6
6x+18=-3x+6
6x+3x=6-18
9x=-12
x=-4/3
经检验,x=-4/3是原方程的解