6/(x+1)=x-1

Solution for 6/(x+1)=x-1 equation:

6/(x+1)=x-1

We move all terms to the left:

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


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

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

x!=-1

x∈R


We get rid of parentheses

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

We multiply all the terms by the denominator


-x*(x+1)+1*(x+1)+6=0

We multiply parentheses

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

We add all the numbers together, and all the variables

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

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

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