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(x-2)/(x-3)=12
We move all terms to the left:
(x-2)/(x-3)-(12)=0
Domain of the equation: (x-3)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=3
x∈R
(x-2)-12*(x-3)=0
We multiply parentheses
(x-2)-12x+36=0
We get rid of parentheses
x-12x-2+36=0
We add all the numbers together, and all the variables
-11x+34=0
We move all terms containing x to the left, all other terms to the right
-11x=-34
x=-34/-11
x=3+1/11
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