(2x-2)/(3x-1)=12/21

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Solution for (2x-2)/(3x-1)=12/21 equation:



(2x-2)/(3x-1)=12/21
We move all terms to the left:
(2x-2)/(3x-1)-(12/21)=0
Domain of the equation: (3x-1)!=0
We move all terms containing x to the left, all other terms to the right
3x!=1
x!=1/3
x!=1/3
x∈R
We add all the numbers together, and all the variables
(2x-2)/(3x-1)-(+12/21)=0
We get rid of parentheses
(2x-2)/(3x-1)-12/21=0
We calculate fractions
(42x-42)/(63x-21)+(-36x+12)/(63x-21)=0
We multiply all the terms by the denominator
(42x-42)+(-36x+12)=0
We get rid of parentheses
42x-36x-42+12=0
We add all the numbers together, and all the variables
6x-30=0
We move all terms containing x to the left, all other terms to the right
6x=30
x=30/6
x=5

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