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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We multiply parentheses

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

We get rid of parentheses

x+4x+3-6=0

We add all the numbers together, and all the variables

5x-3=0

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

5x=3

x=3/5

x=3/5

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