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4/5(x-2)=1/3(x+4)
We move all terms to the left:
4/5(x-2)-(1/3(x+4))=0
Domain of the equation: 5(x-2)!=0
x∈R
Domain of the equation: 3(x+4))!=0We calculate fractions
x∈R
(12xx/(5(x-2)*3(x+4)))+(-5xx/(5(x-2)*3(x+4)))=0
We calculate terms in parentheses: +(12xx/(5(x-2)*3(x+4))), so:
12xx/(5(x-2)*3(x+4))
We multiply all the terms by the denominator
12xx
Back to the equation:
+(12xx)
We calculate terms in parentheses: +(-5xx/(5(x-2)*3(x+4))), so:We get rid of parentheses
-5xx/(5(x-2)*3(x+4))
We multiply all the terms by the denominator
-5xx
Back to the equation:
+(-5xx)
12xx-5xx=0
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