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