2x+1/x-1=2x-1/x-5

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Solution for 2x+1/x-1=2x-1/x-5 equation: 



2x+1/x-1=2x-1/x-5

We move all terms to the left:

2x+1/x-1-(2x-1/x-5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-5)!=0

x∈R



We get rid of parentheses

2x+1/x-2x+1/x+5-1=0

We multiply all the terms by the denominator


2x*x-2x*x+5*x-1*x+1+1=0

We add all the numbers together, and all the variables

4x+2x*x-2x*x+2=0

Wy multiply elements

2x^2-2x^2+4x+2=0

We add all the numbers together, and all the variables

4x+2=0

We move all terms containing x to the left, all other terms to the right

4x=-2

x=-2/4

x=-1/2

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