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

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



X-6/X+5=X+5/X-6

We move all terms to the left:

X-6/X+5-(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-6/X-X-5/X+6+5=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

11X+X*X-X*X-11=0

Wy multiply elements

X^2-1X^2+11X-11=0

We add all the numbers together, and all the variables

11X-11=0

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

11X=11

X=11/11

X=1

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