(x+4)/(x+9)=6/5

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Solution for (x+4)/(x+9)=6/5 equation: 



(x+4)/(x+9)=6/5

We move all terms to the left:

(x+4)/(x+9)-(6/5)=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+4)/(x+9)-(+6/5)=0

We get rid of parentheses

(x+4)/(x+9)-6/5=0

We calculate fractions


(5x+20)/(5x+45)+(-6x-54)/(5x+45)=0

We multiply all the terms by the denominator


(5x+20)+(-6x-54)=0

We get rid of parentheses

5x-6x+20-54=0

We add all the numbers together, and all the variables

-1x-34=0

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

-x=34

x=34/-1

x=-34

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