2/3(x-4)=1/9(x+6)

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Solution for 2/3(x-4)=1/9(x+6) equation:



2/3(x-4)=1/9(x+6)
We move all terms to the left:
2/3(x-4)-(1/9(x+6))=0
Domain of the equation: 3(x-4)!=0
x∈R
Domain of the equation: 9(x+6))!=0
x∈R
We calculate fractions
(18xx/(3(x-4)*9(x+6)))+(-3xx/(3(x-4)*9(x+6)))=0
We calculate terms in parentheses: +(18xx/(3(x-4)*9(x+6))), so:
18xx/(3(x-4)*9(x+6))
We multiply all the terms by the denominator
18xx
Back to the equation:
+(18xx)
We calculate terms in parentheses: +(-3xx/(3(x-4)*9(x+6))), so:
-3xx/(3(x-4)*9(x+6))
We multiply all the terms by the denominator
-3xx
Back to the equation:
+(-3xx)
We get rid of parentheses
18xx-3xx=0

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