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

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



5/(x-9)=8/(x+5)
We move all terms to the left:
5/(x-9)-(8/(x+5))=0
Domain of the equation: (x-9)!=0
We move all terms containing x to the left, all other terms to the right
x!=9
x∈R
Domain of the equation: (x+5))!=0
x∈R
We calculate fractions
5x/((x-9)*(x+5)))+(-(8*(x-9))/((x-9)*(x+5)))=0
We calculate terms in parentheses: -(8*(x-9))/((x-9)*(x+5))), so:
8*(x-9))/((x-9)*(x+5))
We multiply all the terms by the denominator
8*(x-9))
We multiply parentheses
8x+
We add all the numbers together, and all the variables
8x
Back to the equation:
-(8x)
We add all the numbers together, and all the variables
-8x+5x/((x-9)*(x+5)))+(=0
We multiply all the terms by the denominator
-8x*((x-9)*(x+5)))+(+5x=0
We add all the numbers together, and all the variables
5x-8x*((x-9)*(x+5)))+(=0

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