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

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



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

We move all terms to the left:

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

We multiply all the terms by the denominator


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

We multiply parentheses

(x-2)+6x+9=0

We get rid of parentheses

x+6x-2+9=0

We add all the numbers together, and all the variables

7x+7=0

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

7x=-7

x=-7/7

x=-1

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