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

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



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

We move all terms to the left:

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



Domain of the equation: (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

X∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We multiply parentheses

2X^2-2X^2+X-1X+1X-1*(2X-1)-4X+2=0

We add all the numbers together, and all the variables

-3X-1*(2X-1)+2=0

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

-3X-1*(2X-1)=-2

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