x/(x+2)=3/2

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



x/(x+2)=3/2

We move all terms to the left:

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



Domain of the equation: (x+2)!=0

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

x!=-2

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


2x/(2x+4)+(-3x-6)/(2x+4)=0

We multiply all the terms by the denominator


2x+(-3x-6)=0

We get rid of parentheses

2x-3x-6=0

We add all the numbers together, and all the variables

-1x-6=0

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

-x=6

x=6/-1

x=-6

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