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2/5(x-3)=1/3(2x+10)
We move all terms to the left:
2/5(x-3)-(1/3(2x+10))=0
Domain of the equation: 5(x-3)!=0
x∈R
Domain of the equation: 3(2x+10))!=0We calculate fractions
x∈R
(6x2/(5(x-3)*3(2x+10)))+(-5xx/(5(x-3)*3(2x+10)))=0
We calculate terms in parentheses: +(6x2/(5(x-3)*3(2x+10))), so:
6x2/(5(x-3)*3(2x+10))
We multiply all the terms by the denominator
6x2
We add all the numbers together, and all the variables
6x^2
Back to the equation:
+(6x^2)
We calculate terms in parentheses: +(-5xx/(5(x-3)*3(2x+10))), so:We get rid of parentheses
-5xx/(5(x-3)*3(2x+10))
We multiply all the terms by the denominator
-5xx
Back to the equation:
+(-5xx)
6x^2-5xx=0
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