18/(x-3)=54/(x+3)

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Solution for 18/(x-3)=54/(x+3) equation: 



18/(x-3)=54/(x+3)

We move all terms to the left:

18/(x-3)-(54/(x+3))=0



Domain of the equation: (x-3)!=0

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

x!=3

x∈R





Domain of the equation: (x+3))!=0

x∈R



We calculate fractions


18x/((x-3)*(x+3)))+(-(54*(x-3))/((x-3)*(x+3)))=0



We calculate terms in parentheses: -(54*(x-3))/((x-3)*(x+3))), so:

54*(x-3))/((x-3)*(x+3))

We multiply all the terms by the denominator


54*(x-3))

We multiply parentheses

54x+

We add all the numbers together, and all the variables

54x

Back to the equation:

-(54x)



We add all the numbers together, and all the variables

-54x+18x/((x-3)*(x+3)))+(=0

We multiply all the terms by the denominator


-54x*((x-3)*(x+3)))+(+18x=0

We add all the numbers together, and all the variables

18x-54x*((x-3)*(x+3)))+(=0

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