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(3x+6)/(x-4)=9
We move all terms to the left:
(3x+6)/(x-4)-(9)=0
Domain of the equation: (x-4)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=4
x∈R
(3x+6)-9*(x-4)=0
We multiply parentheses
(3x+6)-9x+36=0
We get rid of parentheses
3x-9x+6+36=0
We add all the numbers together, and all the variables
-6x+42=0
We move all terms containing x to the left, all other terms to the right
-6x=-42
x=-42/-6
x=+7
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