(5x-7)/(5x+9)=3/4

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Solution for (5x-7)/(5x+9)=3/4 equation: 



(5x-7)/(5x+9)=3/4

We move all terms to the left:

(5x-7)/(5x+9)-(3/4)=0



Domain of the equation: (5x+9)!=0

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

5x!=-9

x!=-9/5

x!=-1+4/5

x∈R



We add all the numbers together, and all the variables

(5x-7)/(5x+9)-(+3/4)=0

We get rid of parentheses

(5x-7)/(5x+9)-3/4=0

We calculate fractions


(20x-28)/(20x+36)+(-15x-27)/(20x+36)=0

We multiply all the terms by the denominator


(20x-28)+(-15x-27)=0

We get rid of parentheses

20x-15x-28-27=0

We add all the numbers together, and all the variables

5x-55=0

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

5x=55

x=55/5

x=11

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