9=(3x+6)/(x-4)

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Solution for 9=(3x+6)/(x-4) equation: 



9=(3x+6)/(x-4)

We move all terms to the left:

9-((3x+6)/(x-4))=0



Domain of the equation: (x-4))!=0

x∈R



We multiply all the terms by the denominator


-((3x+6)+9*(x-4))=0



We calculate terms in parentheses: -((3x+6)+9*(x-4)), so:

(3x+6)+9*(x-4)

We multiply parentheses

(3x+6)+9x-36

We get rid of parentheses

3x+9x+6-36

We add all the numbers together, and all the variables

12x-30

Back to the equation:

-(12x-30)



We get rid of parentheses

-12x+30=0

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

-12x=-30

x=-30/-12

x=2+1/2

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