(2x)/(x+9)=(5)/(4)

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Solution for (2x)/(x+9)=(5)/(4) equation: 



(2x)/(x+9)=(5)/(4)

We move all terms to the left:

(2x)/(x+9)-((5)/(4))=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

2x/(x+9)-(+5/4)=0

We get rid of parentheses

2x/(x+9)-5/4=0

We calculate fractions


8x/(4x+36)+(-5x-45)/(4x+36)=0

We multiply all the terms by the denominator


8x+(-5x-45)=0

We get rid of parentheses

8x-5x-45=0

We add all the numbers together, and all the variables

3x-45=0

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

3x=45

x=45/3

x=15

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