3/(x-2)=5/(9x)

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Solution for 3/(x-2)=5/(9x) equation: 



3/(x-2)=5/(9x)

We move all terms to the left:

3/(x-2)-(5/(9x))=0



Domain of the equation: (x-2)!=0

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

x!=2

x∈R





Domain of the equation: 9x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

3/(x-2)-(+5/9x)=0

We get rid of parentheses

3/(x-2)-5/9x=0

We calculate fractions


27x/(9x^2-18x)+(-5x+10)/(9x^2-18x)=0

We multiply all the terms by the denominator


27x+(-5x+10)=0

We get rid of parentheses

27x-5x+10=0

We add all the numbers together, and all the variables

22x+10=0

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

22x=-10

x=-10/22

x=-5/11

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