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

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



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

We move all terms to the left:

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



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

x∈R





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

x∈R



We calculate fractions


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



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

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

We multiply all the terms by the denominator


2xx

Back to the equation:

+(2xx)





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

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

We multiply all the terms by the denominator


-3xx

Back to the equation:

+(-3xx)



We get rid of parentheses

2xx-3xx=0

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