4/(x-8)=2/(x+10)

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Solution for 4/(x-8)=2/(x+10) equation: 



4/(x-8)=2/(x+10)

We move all terms to the left:

4/(x-8)-(2/(x+10))=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+10))!=0

x∈R



We calculate fractions


4x/((x-8)*(x+10)))+(-(2*(x-8))/((x-8)*(x+10)))=0



We calculate terms in parentheses: -(2*(x-8))/((x-8)*(x+10))), so:

2*(x-8))/((x-8)*(x+10))

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+4x/((x-8)*(x+10)))+(=0

We multiply all the terms by the denominator


-2x*((x-8)*(x+10)))+(+4x=0

We add all the numbers together, and all the variables

4x-2x*((x-8)*(x+10)))+(=0

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