9/(x+8)=3/(x-5)

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Solution for 9/(x+8)=3/(x-5) equation: 



9/(x+8)=3/(x-5)

We move all terms to the left:

9/(x+8)-(3/(x-5))=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-5))!=0

x∈R



We calculate fractions


9x/((x+8)*(x-5)))+(-(3*(x+8))/((x+8)*(x-5)))=0



We calculate terms in parentheses: -(3*(x+8))/((x+8)*(x-5))), so:

3*(x+8))/((x+8)*(x-5))

We multiply all the terms by the denominator


3*(x+8))

We multiply parentheses

3x+

We add all the numbers together, and all the variables

3x

Back to the equation:

-(3x)



We add all the numbers together, and all the variables

-3x+9x/((x+8)*(x-5)))+(=0

We multiply all the terms by the denominator


-3x*((x+8)*(x-5)))+(+9x=0

We add all the numbers together, and all the variables

9x-3x*((x+8)*(x-5)))+(=0

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