(3x+4)/(2-6x)=-2/5

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Solution for (3x+4)/(2-6x)=-2/5 equation: 



(3x+4)/(2-6x)=-2/5

We move all terms to the left:

(3x+4)/(2-6x)-(-2/5)=0



Domain of the equation: (2-6x)!=0

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

-6x!=-2

x!=-2/-6

x!=1/3

x∈R



We add all the numbers together, and all the variables

(3x+4)/(-6x+2)-(-2/5)=0

We get rid of parentheses

(3x+4)/(-6x+2)+2/5=0

We calculate fractions


(15x+20)/(-30x+10)+(-12x+4)/(-30x+10)=0

We multiply all the terms by the denominator


(15x+20)+(-12x+4)=0

We get rid of parentheses

15x-12x+20+4=0

We add all the numbers together, and all the variables

3x+24=0

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

3x=-24

x=-24/3

x=-8

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