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

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



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

We move all terms to the left:

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



Domain of the equation: (3-2x)!=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+5)/(-2x+3)-(+5/3)=0

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


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

We get rid of parentheses

9x+10x+15-15=0

We add all the numbers together, and all the variables

19x=0

x=0/19

x=0

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