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

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



(9)/(x+9)=(5)/(x+3)
We move all terms to the left:
(9)/(x+9)-((5)/(x+3))=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+3))!=0
x∈R
We calculate fractions
9x/((x+9)*(x+3)))+(-(5*(x+9))/((x+9)*(x+3)))=0
We calculate terms in parentheses: -(5*(x+9))/((x+9)*(x+3))), so:
5*(x+9))/((x+9)*(x+3))
We multiply all the terms by the denominator
5*(x+9))
We multiply parentheses
5x+
We add all the numbers together, and all the variables
5x
Back to the equation:
-(5x)
We add all the numbers together, and all the variables
-5x+9x/((x+9)*(x+3)))+(=0
We multiply all the terms by the denominator
-5x*((x+9)*(x+3)))+(+9x=0
We add all the numbers together, and all the variables
9x-5x*((x+9)*(x+3)))+(=0

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