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(x-3)/(3x+1)=2
We move all terms to the left:
(x-3)/(3x+1)-(2)=0
Domain of the equation: (3x+1)!=0We multiply all the terms by the denominator
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
(x-3)-2*(3x+1)=0
We multiply parentheses
(x-3)-6x-2=0
We get rid of parentheses
x-6x-3-2=0
We add all the numbers together, and all the variables
-5x-5=0
We move all terms containing x to the left, all other terms to the right
-5x=5
x=5/-5
x=-1
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