(2x-6)/(x-3)=9

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Solution for (2x-6)/(x-3)=9 equation: 



(2x-6)/(x-3)=9

We move all terms to the left:

(2x-6)/(x-3)-(9)=0



Domain of the equation: (x-3)!=0

We move all terms containing x to the left, all other terms to the right

x!=3

x∈R



We multiply all the terms by the denominator


(2x-6)-9*(x-3)=0

We multiply parentheses

(2x-6)-9x+27=0

We get rid of parentheses

2x-9x-6+27=0

We add all the numbers together, and all the variables

-7x+21=0

We move all terms containing x to the left, all other terms to the right

-7x=-21

x=-21/-7

x=+3

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