x+1/x+5=x-5/x+2

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Solution for x+1/x+5=x-5/x+2 equation: 



x+1/x+5=x-5/x+2

We move all terms to the left:

x+1/x+5-(x-5/x+2)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x+2)!=0

x∈R



We get rid of parentheses

x+1/x-x+5/x-2+5=0

We multiply all the terms by the denominator


x*x-x*x-2*x+5*x+1+5=0

We add all the numbers together, and all the variables

3x+x*x-x*x+6=0

Wy multiply elements

x^2-1x^2+3x+6=0

We add all the numbers together, and all the variables

3x+6=0

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

3x=-6

x=-6/3

x=-2

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