4/(x+4)=12/x

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Solution for 4/(x+4)=12/x equation: 



4/(x+4)=12/x

We move all terms to the left:

4/(x+4)-(12/x)=0



Domain of the equation: (x+4)!=0

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

x!=-4

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

4/(x+4)-(+12/x)=0

We get rid of parentheses

4/(x+4)-12/x=0

We calculate fractions


4x/(x^2+4x)+(-12x-48)/(x^2+4x)=0

We multiply all the terms by the denominator


4x+(-12x-48)=0

We get rid of parentheses

4x-12x-48=0

We add all the numbers together, and all the variables

-8x-48=0

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

-8x=48

x=48/-8

x=-6

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