x/(x+9)=4/7

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Solution for x/(x+9)=4/7 equation: 



x/(x+9)=4/7

We move all terms to the left:

x/(x+9)-(4/7)=0



Domain of the equation: (x+9)!=0

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

x!=-9

x∈R



We add all the numbers together, and all the variables

x/(x+9)-(+4/7)=0

We get rid of parentheses

x/(x+9)-4/7=0

We calculate fractions


7x/(7x+63)+(-4x-36)/(7x+63)=0

We multiply all the terms by the denominator


7x+(-4x-36)=0

We get rid of parentheses

7x-4x-36=0

We add all the numbers together, and all the variables

3x-36=0

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

3x=36

x=36/3

x=12

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