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x-1/x+1=x+1/x-1
We move all terms to the left:
x-1/x+1-(x+1/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
x-1/x-x-1/x+1+1=0
We multiply all the terms by the denominator
x*x-x*x+1*x+1*x-1-1=0
We add all the numbers together, and all the variables
2x+x*x-x*x-2=0
Wy multiply elements
x^2-1x^2+2x-2=0
We add all the numbers together, and all the variables
2x-2=0
We move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1
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