(3x+2)/(x-6)=-12

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Solution for (3x+2)/(x-6)=-12 equation: 



(3x+2)/(x-6)=-12

We move all terms to the left:

(3x+2)/(x-6)-(-12)=0



Domain of the equation: (x-6)!=0

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

x!=6

x∈R



We add all the numbers together, and all the variables

(3x+2)/(x-6)+12=0

We multiply all the terms by the denominator


(3x+2)+12*(x-6)=0

We multiply parentheses

(3x+2)+12x-72=0

We get rid of parentheses

3x+12x+2-72=0

We add all the numbers together, and all the variables

15x-70=0

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

15x=70

x=70/15

x=4+2/3

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