1/3(x+9)=2/3(2x-6)

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Solution for 1/3(x+9)=2/3(2x-6) equation: 



1/3(x+9)=2/3(2x-6)

We move all terms to the left:

1/3(x+9)-(2/3(2x-6))=0



Domain of the equation: 3(x+9)!=0

x∈R





Domain of the equation: 3(2x-6))!=0

x∈R



We calculate fractions


(3x2/(3(x+9)*3(2x-6)))+(-6xx/(3(x+9)*3(2x-6)))=0



We calculate terms in parentheses: +(3x2/(3(x+9)*3(2x-6))), so:

3x2/(3(x+9)*3(2x-6))

We multiply all the terms by the denominator


3x2

We add all the numbers together, and all the variables

3x^2

Back to the equation:

+(3x^2)





We calculate terms in parentheses: +(-6xx/(3(x+9)*3(2x-6))), so:

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

We multiply all the terms by the denominator


-6xx

Back to the equation:

+(-6xx)



We get rid of parentheses

3x^2-6xx=0

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