(3x-6)/(3x+4)=3/4

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Solution for (3x-6)/(3x+4)=3/4 equation: 



(3x-6)/(3x+4)=3/4

We move all terms to the left:

(3x-6)/(3x+4)-(3/4)=0



Domain of the equation: (3x+4)!=0

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

3x!=-4

x!=-4/3

x!=-1+1/3

x∈R



We add all the numbers together, and all the variables

(3x-6)/(3x+4)-(+3/4)=0

We get rid of parentheses

(3x-6)/(3x+4)-3/4=0

We calculate fractions


(12x-24)/(12x+16)+(-9x-12)/(12x+16)=0

We multiply all the terms by the denominator


(12x-24)+(-9x-12)=0

We get rid of parentheses

12x-9x-24-12=0

We add all the numbers together, and all the variables

3x-36=0

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

3x=36

x=36/3

x=12

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