(x-5)/(x+4)=5/9

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Solution for (x-5)/(x+4)=5/9 equation: 



(x-5)/(x+4)=5/9

We move all terms to the left:

(x-5)/(x+4)-(5/9)=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-5)/(x+4)-(+5/9)=0

We get rid of parentheses

(x-5)/(x+4)-5/9=0

We calculate fractions


(9x-45)/(9x+36)+(-5x-20)/(9x+36)=0

We multiply all the terms by the denominator


(9x-45)+(-5x-20)=0

We get rid of parentheses

9x-5x-45-20=0

We add all the numbers together, and all the variables

4x-65=0

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

4x=65

x=65/4

x=16+1/4

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