3x/(x+2)=9-6/(x+2)

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Solution for 3x/(x+2)=9-6/(x+2) equation: 



3x/(x+2)=9-6/(x+2)

We move all terms to the left:

3x/(x+2)-(9-6/(x+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





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

x∈R



We calculate fractions


9x^2/((x+2)*(x+2)))+(-(-6*(x+11))/((x+2)*(x+2)))=0



We calculate terms in parentheses: -(-6*(x+11))/((x+2)*(x+2))), so:

-6*(x+11))/((x+2)*(x+2))

We multiply all the terms by the denominator


-6*(x+11))

We multiply parentheses

-6x-

We add all the numbers together, and all the variables

-6x

Back to the equation:

-(-6x)



We get rid of parentheses

9x^2/((x+2)*(x+2)))+(+6x=0

We multiply all the terms by the denominator


9x^2+6x*((x+2)*(x+2)))+(=0

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