x/(x-2)-3/x=1

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



x/(x-2)-3/x=1

We move all terms to the left:

x/(x-2)-3/x-(1)=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





Domain of the equation: x!=0

x∈R



We calculate fractions


x^2/(x^2-2x)+(-3x+6)/(x^2-2x)-1=0

We multiply all the terms by the denominator


x^2+(-3x+6)-1*(x^2-2x)=0

We get rid of parentheses

x^2-3x-1*(x^2-2x)+6=0

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

x^2-3x-1*(x^2-2x)=-6

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