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

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

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

We move all terms to the left:

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


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

x∈R



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

x∈R


We calculate fractions


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


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

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

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-2))), so:

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

We multiply all the terms by the denominator


-3xx

Back to the equation:

+(-3xx)


We get rid of parentheses

2xx-3xx=0