4(1/x+1/(x+2) )+1/(x+2)=1,

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4(1/x+1/(x+2) )+1/(x+2)=1,
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4(1/x+1/(x+2) )+1/(x+2)=1,
4(1/x+1/(x+2) )+1/(x+2)=1,

4(1/x+1/(x+2) )+1/(x+2)=1,
两边乘x(x+2)
4(x+2+x)+x=x(x+2)
8x+8+x=x²+2x
x²-7x-8=0
(x+1)(x-8)=0
x=-1,x=8
经检验,x=-1和x=8是方程的解

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