(x-2)/(3x-3)=6/14

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Solution for (x-2)/(3x-3)=6/14 equation: 



(x-2)/(3x-3)=6/14

We move all terms to the left:

(x-2)/(3x-3)-(6/14)=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

(x-2)/(3x-3)-(+6/14)=0

We get rid of parentheses

(x-2)/(3x-3)-6/14=0

We calculate fractions


(14x-28)/(42x-42)+(-18x+18)/(42x-42)=0

We multiply all the terms by the denominator


(14x-28)+(-18x+18)=0

We get rid of parentheses

14x-18x-28+18=0

We add all the numbers together, and all the variables

-4x-10=0

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

-4x=10

x=10/-4

x=-2+1/2

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