12/(x-3)=30/x

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Solution for 12/(x-3)=30/x equation: 



12/(x-3)=30/x

We move all terms to the left:

12/(x-3)-(30/x)=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)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

12/(x-3)-(+30/x)=0

We get rid of parentheses

12/(x-3)-30/x=0

We calculate fractions


12x/(x^2-3x)+(-30x+90)/(x^2-3x)=0

We multiply all the terms by the denominator


12x+(-30x+90)=0

We get rid of parentheses

12x-30x+90=0

We add all the numbers together, and all the variables

-18x+90=0

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

-18x=-90

x=-90/-18

x=+5

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