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(6x+6)/(9-3x)=2
We move all terms to the left:
(6x+6)/(9-3x)-(2)=0
Domain of the equation: (9-3x)!=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!=-9
x!=-9/-3
x!=+3
x∈R
(6x+6)/(-3x+9)-2=0
We multiply all the terms by the denominator
(6x+6)-2*(-3x+9)=0
We multiply parentheses
(6x+6)+6x-18=0
We get rid of parentheses
6x+6x+6-18=0
We add all the numbers together, and all the variables
12x-12=0
We move all terms containing x to the left, all other terms to the right
12x=12
x=12/12
x=1
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