x/(84+x)=5/15

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Solution for x/(84+x)=5/15 equation: 



x/(84+x)=5/15

We move all terms to the left:

x/(84+x)-(5/15)=0



Domain of the equation: (84+x)!=0

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

x!=-84

x∈R



We add all the numbers together, and all the variables

x/(x+84)-(+5/15)=0

We get rid of parentheses

x/(x+84)-5/15=0

We calculate fractions


15x/(15x+1260)+(-5x-420)/(15x+1260)=0

We multiply all the terms by the denominator


15x+(-5x-420)=0

We get rid of parentheses

15x-5x-420=0

We add all the numbers together, and all the variables

10x-420=0

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

10x=420

x=420/10

x=42

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