X-2/x-6=x+5/x-4

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Solution for X-2/x-6=x+5/x-4 equation: 



X-2/X-6=X+5/X-4

We move all terms to the left:

X-2/X-6-(X+5/X-4)=0



Domain of the equation: X!=0

X∈R





Domain of the equation: X-4)!=0

X∈R



We get rid of parentheses

X-2/X-X-5/X+4-6=0

We multiply all the terms by the denominator


X*X-X*X+4*X-6*X-2-5=0

We add all the numbers together, and all the variables

-2X+X*X-X*X-7=0

Wy multiply elements

X^2-1X^2-2X-7=0

We add all the numbers together, and all the variables

-2X-7=0

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

-2X=7

X=7/-2

X=-3+1/2

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