(3x-7)/(3x+3)=2/3

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Solution for (3x-7)/(3x+3)=2/3 equation: 



(3x-7)/(3x+3)=2/3

We move all terms to the left:

(3x-7)/(3x+3)-(2/3)=0



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

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

3x!=-3

x!=-3/3

x!=-1

x∈R



We add all the numbers together, and all the variables

(3x-7)/(3x+3)-(+2/3)=0

We get rid of parentheses

(3x-7)/(3x+3)-2/3=0

We calculate fractions


(9x-21)/(9x+9)+(-6x-6)/(9x+9)=0

We multiply all the terms by the denominator


(9x-21)+(-6x-6)=0

We get rid of parentheses

9x-6x-21-6=0

We add all the numbers together, and all the variables

3x-27=0

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

3x=27

x=27/3

x=9

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