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(x-8)/(x-6)=2/3
We move all terms to the left:
(x-8)/(x-6)-(2/3)=0
Domain of the equation: (x-6)!=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
x!=6
x∈R
(x-8)/(x-6)-(+2/3)=0
We get rid of parentheses
(x-8)/(x-6)-2/3=0
We calculate fractions
(3x-24)/(3x-18)+(-2x+12)/(3x-18)=0
We multiply all the terms by the denominator
(3x-24)+(-2x+12)=0
We get rid of parentheses
3x-2x-24+12=0
We add all the numbers together, and all the variables
x-12=0
We move all terms containing x to the left, all other terms to the right
x=12
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