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

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



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

We move all terms to the left:

2(x-1)/x-(1+2/x(x-1))=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x(x-1))!=0

x∈R



We calculate fractions


(2(x-1)*x(x-1)))/(x^2x+(-(1+2*x)/(x^2x=0

We add all the numbers together, and all the variables

(2(x-1)*x(x-1)))/(x^2x+(-(2x+1)/(x^2x=0

We multiply all the terms by the denominator


(2(x-1)*x(x-1)))+(-(2x+1)=0

We get rid of parentheses

(2(x-1)*x(x-1)))+(-2x-1=0

We add all the numbers together, and all the variables

-2x+(2(x-1)*x(x-1)))+(-1=0

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

-2x+(2(x-1)*x(x-1)))+(=1

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