(3x+2)/(x-4)=-5

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Solution for (3x+2)/(x-4)=-5 equation: 



(3x+2)/(x-4)=-5

We move all terms to the left:

(3x+2)/(x-4)-(-5)=0



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

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

x!=4

x∈R



We add all the numbers together, and all the variables

(3x+2)/(x-4)+5=0

We multiply all the terms by the denominator


(3x+2)+5*(x-4)=0

We multiply parentheses

(3x+2)+5x-20=0

We get rid of parentheses

3x+5x+2-20=0

We add all the numbers together, and all the variables

8x-18=0

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

8x=18

x=18/8

x=2+1/4

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