1/(x+2)+2x/(x-1)=2
两边同时乘以(x+2)(x-1)
x-1+2x(x+2)=2(x+2)(x-1)
x-1+2x^2+4x=2x^2+2x-4
3x=-3
x=-1
经检验,x=-1是原方程的根
所以x=-1