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

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



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

We move all terms to the left:

(3x+2)/(2x-3)-(3/5)=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 add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(15x+10)/(10x-15)+(-6x+9)/(10x-15)=0

We multiply all the terms by the denominator


(15x+10)+(-6x+9)=0

We get rid of parentheses

15x-6x+10+9=0

We add all the numbers together, and all the variables

9x+19=0

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

9x=-19

x=-19/9

x=-2+1/9

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