(14+x)/(9+x)=9/4

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Solution for (14+x)/(9+x)=9/4 equation: 



(14+x)/(9+x)=9/4

We move all terms to the left:

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



Domain of the equation: (9+x)!=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+14)/(x+9)-(+9/4)=0

We get rid of parentheses

(x+14)/(x+9)-9/4=0

We calculate fractions


(4x+56)/(4x+36)+(-9x-81)/(4x+36)=0

We multiply all the terms by the denominator


(4x+56)+(-9x-81)=0

We get rid of parentheses

4x-9x+56-81=0

We add all the numbers together, and all the variables

-5x-25=0

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

-5x=25

x=25/-5

x=-5

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