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

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



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

We move all terms to the left:

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



Domain of the equation: x-1)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

2x^2-2x^2+2x-1=0

We add all the numbers together, and all the variables

2x-1=0

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

2x=1

x=1/2

x=1/2

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