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

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



(6x-3)/(3x+2)=3
We move all terms to the left:
(6x-3)/(3x+2)-(3)=0
Domain of the equation: (3x+2)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-2
x!=-2/3
x!=-2/3
x∈R
We multiply all the terms by the denominator
(6x-3)-3*(3x+2)=0
We multiply parentheses
(6x-3)-9x-6=0
We get rid of parentheses
6x-9x-3-6=0
We add all the numbers together, and all the variables
-3x-9=0
We move all terms containing x to the left, all other terms to the right
-3x=9
x=9/-3
x=-3

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