(3x-9)/(4x+16)=-84

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Solution for (3x-9)/(4x+16)=-84 equation: 



(3x-9)/(4x+16)=-84

We move all terms to the left:

(3x-9)/(4x+16)-(-84)=0



Domain of the equation: (4x+16)!=0

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

4x!=-16

x!=-16/4

x!=-4

x∈R



We add all the numbers together, and all the variables

(3x-9)/(4x+16)+84=0

We multiply all the terms by the denominator


(3x-9)+84*(4x+16)=0

We multiply parentheses

(3x-9)+336x+1344=0

We get rid of parentheses

3x+336x-9+1344=0

We add all the numbers together, and all the variables

339x+1335=0

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

339x=-1335

x=-1335/339

x=-3+106/113

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