x+1/x-1=x-1/x

Solution for x+1/x-1=x-1/x equation:

x+1/x-1=x-1/x

We move all terms to the left:

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


Domain of the equation: x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

x+1/x-x+1/x-1=0

We multiply all the terms by the denominator


x*x-x*x-1*x+1+1=0

We add all the numbers together, and all the variables

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

Wy multiply elements

x^2-1x^2-1x+2=0

We add all the numbers together, and all the variables

-1x+2=0

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

-x=-2

x=-2/-1

x=+2