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

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



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

We move all terms to the left:

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



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We multiply parentheses

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

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

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

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

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