(2x+2)/x-(x+2)/(x-2)=(x²-2)/(x²-2x)

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(2x+2)/x-(x+2)/(x-2)=(x²-2)/(x²-2x)
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(2x+2)/x-(x+2)/(x-2)=(x²-2)/(x²-2x)
(2x+2)/x-(x+2)/(x-2)=(x²-2)/(x²-2x)

(2x+2)/x-(x+2)/(x-2)=(x²-2)/(x²-2x)
方程两边同乘以x(x-2)得:
(2x+2)(x-2)-x(x+2)=x²-2
2x²-4x+2x-4-(x²+2x)=x²-2
2x²-2x-4-x²-2x=x²-2
x²-4x-4=x²-2
4x=-2
x=-1/2
经检验x=-1/2是原方程的解.