X+1/x-2=x+5/x-6

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Solution for X+1/x-2=x+5/x-6 equation: 



X+1/X-2=X+5/X-6

We move all terms to the left:

X+1/X-2-(X+5/X-6)=0



Domain of the equation: X!=0

X∈R





Domain of the equation: X-6)!=0

X∈R



We get rid of parentheses

X+1/X-X-5/X+6-2=0

We multiply all the terms by the denominator


X*X-X*X+6*X-2*X+1-5=0

We add all the numbers together, and all the variables

4X+X*X-X*X-4=0

Wy multiply elements

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

We add all the numbers together, and all the variables

4X-4=0

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

4X=4

X=4/4

X=1

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