3/(x-2)-1=x

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Solution for 3/(x-2)-1=x equation:



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

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