x/(15+x)=4/9

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Solution for x/(15+x)=4/9 equation:



x/(15+x)=4/9
We move all terms to the left:
x/(15+x)-(4/9)=0
Domain of the equation: (15+x)!=0
We move all terms containing x to the left, all other terms to the right
x!=-15
x∈R
We add all the numbers together, and all the variables
x/(x+15)-(+4/9)=0
We get rid of parentheses
x/(x+15)-4/9=0
We calculate fractions
9x/(9x+135)+(-4x-60)/(9x+135)=0
We multiply all the terms by the denominator
9x+(-4x-60)=0
We get rid of parentheses
9x-4x-60=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12

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