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(x-1)/(3x+1)=6/21
We move all terms to the left:
(x-1)/(3x+1)-(6/21)=0
Domain of the equation: (3x+1)!=0We add all the numbers together, and all the variables
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-1)/(3x+1)-(+6/21)=0
We get rid of parentheses
(x-1)/(3x+1)-6/21=0
We calculate fractions
(21x-21)/(63x+21)+(-18x-6)/(63x+21)=0
We multiply all the terms by the denominator
(21x-21)+(-18x-6)=0
We get rid of parentheses
21x-18x-21-6=0
We add all the numbers together, and all the variables
3x-27=0
We move all terms containing x to the left, all other terms to the right
3x=27
x=27/3
x=9
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