(3a+6)/(a-4)=8

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Solution for (3a+6)/(a-4)=8 equation: 



(3a+6)/(a-4)=8

We move all terms to the left:

(3a+6)/(a-4)-(8)=0



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

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

a!=4

a∈R



We multiply all the terms by the denominator


(3a+6)-8*(a-4)=0

We multiply parentheses

(3a+6)-8a+32=0

We get rid of parentheses

3a-8a+6+32=0

We add all the numbers together, and all the variables

-5a+38=0

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

-5a=-38

a=-38/-5

a=7+3/5

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