(x-3)/(x-8)=3

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Solution for (x-3)/(x-8)=3 equation:



(x-3)/(x-8)=3
We move all terms to the left:
(x-3)/(x-8)-(3)=0
Domain of the equation: (x-8)!=0
We move all terms containing x to the left, all other terms to the right
x!=8
x∈R
We multiply all the terms by the denominator
(x-3)-3*(x-8)=0
We multiply parentheses
(x-3)-3x+24=0
We get rid of parentheses
x-3x-3+24=0
We add all the numbers together, and all the variables
-2x+21=0
We move all terms containing x to the left, all other terms to the right
-2x=-21
x=-21/-2
x=10+1/2

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