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

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



(3x-3)/(x-2)=14/6
We move all terms to the left:
(3x-3)/(x-2)-(14/6)=0
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We add all the numbers together, and all the variables
(3x-3)/(x-2)-(+14/6)=0
We get rid of parentheses
(3x-3)/(x-2)-14/6=0
We calculate fractions
(18x-18)/(6x-12)+(-14x+28)/(6x-12)=0
We multiply all the terms by the denominator
(18x-18)+(-14x+28)=0
We get rid of parentheses
18x-14x-18+28=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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