(6)/(x-8)=(2)/(x+6)

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Solution for (6)/(x-8)=(2)/(x+6) equation: 



(6)/(x-8)=(2)/(x+6)

We move all terms to the left:

(6)/(x-8)-((2)/(x+6))=0



Domain of the equation: (x-8)!=0

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

x!=8

x∈R





Domain of the equation: (x+6))!=0

x∈R



We calculate fractions


6x/((x-8)*(x+6)))+(-(2*(x-8))/((x-8)*(x+6)))=0



We calculate terms in parentheses: -(2*(x-8))/((x-8)*(x+6))), so:

2*(x-8))/((x-8)*(x+6))

We multiply all the terms by the denominator


2*(x-8))

We multiply parentheses

2x+

We add all the numbers together, and all the variables

2x

Back to the equation:

-(2x)



We add all the numbers together, and all the variables

-2x+6x/((x-8)*(x+6)))+(=0

We multiply all the terms by the denominator


-2x*((x-8)*(x+6)))+(+6x=0

We add all the numbers together, and all the variables

6x-2x*((x-8)*(x+6)))+(=0

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