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

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



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

We move all terms to the left:

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



Domain of the equation: (2x-3)!=0

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

2x!=3

x!=3/2

x!=1+1/2

x∈R



We get rid of parentheses

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

We calculate fractions


(12x+8)/(8x-12)+(6x-9)/(8x-12)=0

We multiply all the terms by the denominator


(12x+8)+(6x-9)=0

We get rid of parentheses

12x+6x+8-9=0

We add all the numbers together, and all the variables

18x-1=0

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

18x=1

x=1/18

x=1/18

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