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

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



1/3(x+3)=1/2(x+2)
We move all terms to the left:
1/3(x+3)-(1/2(x+2))=0
Domain of the equation: 3(x+3)!=0
x∈R
Domain of the equation: 2(x+2))!=0
x∈R
We calculate fractions
(2xx/(3(x+3)*2(x+2)))+(-3xx/(3(x+3)*2(x+2)))=0
We calculate terms in parentheses: +(2xx/(3(x+3)*2(x+2))), so:
2xx/(3(x+3)*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+3)*2(x+2))), so:
-3xx/(3(x+3)*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

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