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(4x-6)/(3x-9)=3
We move all terms to the left:
(4x-6)/(3x-9)-(3)=0
Domain of the equation: (3x-9)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
3x!=9
x!=9/3
x!=3
x∈R
(4x-6)-3*(3x-9)=0
We multiply parentheses
(4x-6)-9x+27=0
We get rid of parentheses
4x-9x-6+27=0
We add all the numbers together, and all the variables
-5x+21=0
We move all terms containing x to the left, all other terms to the right
-5x=-21
x=-21/-5
x=4+1/5
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