(x-6)/(x+5)=2/9

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Solution for (x-6)/(x+5)=2/9 equation: 



(x-6)/(x+5)=2/9

We move all terms to the left:

(x-6)/(x+5)-(2/9)=0



Domain of the equation: (x+5)!=0

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

x!=-5

x∈R



We add all the numbers together, and all the variables

(x-6)/(x+5)-(+2/9)=0

We get rid of parentheses

(x-6)/(x+5)-2/9=0

We calculate fractions


(9x-54)/(9x+45)+(-2x-10)/(9x+45)=0

We multiply all the terms by the denominator


(9x-54)+(-2x-10)=0

We get rid of parentheses

9x-2x-54-10=0

We add all the numbers together, and all the variables

7x-64=0

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

7x=64

x=64/7

x=9+1/7

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