6/(x+6)=2/(x-4)

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Solution for 6/(x+6)=2/(x-4) equation: 



6/(x+6)=2/(x-4)

We move all terms to the left:

6/(x+6)-(2/(x-4))=0



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

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

x!=-6

x∈R





Domain of the equation: (x-4))!=0

x∈R



We calculate fractions


6x/((x+6)*(x-4)))+(-(2*(x+6))/((x+6)*(x-4)))=0



We calculate terms in parentheses: -(2*(x+6))/((x+6)*(x-4))), so:

2*(x+6))/((x+6)*(x-4))

We multiply all the terms by the denominator


2*(x+6))

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+6)*(x-4)))+(=0

We multiply all the terms by the denominator


-2x*((x+6)*(x-4)))+(+6x=0

We add all the numbers together, and all the variables

6x-2x*((x+6)*(x-4)))+(=0

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