x+1/x=x+5/x-1

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Solution for x+1/x=x+5/x-1 equation: 



x+1/x=x+5/x-1

We move all terms to the left:

x+1/x-(x+5/x-1)=0



Domain of the equation: x!=0

x∈R





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

x∈R



We get rid of parentheses

x+1/x-x-5/x+1=0

We multiply all the terms by the denominator


x*x-x*x+1*x+1-5=0

We add all the numbers together, and all the variables

x+x*x-x*x-4=0

Wy multiply elements

x^2-1x^2+x-4=0

We add all the numbers together, and all the variables

x-4=0

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

x=4

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