(x-4)/(x+4)=2/9

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Solution for (x-4)/(x+4)=2/9 equation: 



(x-4)/(x+4)=2/9

We move all terms to the left:

(x-4)/(x+4)-(2/9)=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-4)/(x+4)-(+2/9)=0

We get rid of parentheses

(x-4)/(x+4)-2/9=0

We calculate fractions


(9x-36)/(9x+36)+(-2x-8)/(9x+36)=0

We multiply all the terms by the denominator


(9x-36)+(-2x-8)=0

We get rid of parentheses

9x-2x-36-8=0

We add all the numbers together, and all the variables

7x-44=0

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

7x=44

x=44/7

x=6+2/7

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