x/(x+4)=6/9

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Solution for x/(x+4)=6/9 equation: 



x/(x+4)=6/9

We move all terms to the left:

x/(x+4)-(6/9)=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



We add all the numbers together, and all the variables

x/(x+4)-(+6/9)=0

We get rid of parentheses

x/(x+4)-6/9=0

We calculate fractions


9x/(9x+36)+(-6x-24)/(9x+36)=0

We multiply all the terms by the denominator


9x+(-6x-24)=0

We get rid of parentheses

9x-6x-24=0

We add all the numbers together, and all the variables

3x-24=0

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

3x=24

x=24/3

x=8

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