(7x-2)/(12x-2)=3/8

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Solution for (7x-2)/(12x-2)=3/8 equation:



(7x-2)/(12x-2)=3/8
We move all terms to the left:
(7x-2)/(12x-2)-(3/8)=0
Domain of the equation: (12x-2)!=0
We move all terms containing x to the left, all other terms to the right
12x!=2
x!=2/12
x!=1/6
x∈R
We add all the numbers together, and all the variables
(7x-2)/(12x-2)-(+3/8)=0
We get rid of parentheses
(7x-2)/(12x-2)-3/8=0
We calculate fractions
(56x-16)/(96x-16)+(-36x+6)/(96x-16)=0
We multiply all the terms by the denominator
(56x-16)+(-36x+6)=0
We get rid of parentheses
56x-36x-16+6=0
We add all the numbers together, and all the variables
20x-10=0
We move all terms containing x to the left, all other terms to the right
20x=10
x=10/20
x=1/2

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