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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)!=0We get rid of parentheses
x∈R
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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