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

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



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

We move all terms to the left:

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

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

We get rid of parentheses

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

We calculate fractions


(3x+9)/(6x+9)+(-4x-6)/(6x+9)=0

We multiply all the terms by the denominator


(3x+9)+(-4x-6)=0

We get rid of parentheses

3x-4x+9-6=0

We add all the numbers together, and all the variables

-1x+3=0

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

-x=-3

x=-3/-1

x=+3

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