(x-1)/(2x+1)+(2x+1)/(x-1)=5/2
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Answer:
x-1/2x+1+2x+1/x-1=5/2
x-1/4x+2/x-1=5/2
x-1*x-1/4x+2=5/2
x²-x-x+1/4x+2=5/2
x²-2x+1/4x+2=5/2
x²-2x+1=5/2*4x+2
x²-2x+1=20x+10/2
[x²-2x+1]*2=20x+10
2x²-4x+2=20x+10
2x²-4x-20x=-2+10
2x²-24x=8
2(x²-12x)=8
x²-12x=8/2
x²-12x=4
x(1²-12)=4
x(1-12)=4
x(-11)=4
x=4/-11
x=-4/11
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