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2+(1/x-1)=3
We move all terms to the left:
2+(1/x-1)-(3)=0
Domain of the equation: x-1)!=0We add all the numbers together, and all the variables
x∈R
(1/x-1)-1=0
We get rid of parentheses
1/x-1-1=0
We multiply all the terms by the denominator
-1*x-1*x+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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