2/3(x+12)=4/5(x-10)

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Solution for 2/3(x+12)=4/5(x-10) equation:



2/3(x+12)=4/5(x-10)
We move all terms to the left:
2/3(x+12)-(4/5(x-10))=0
Domain of the equation: 3(x+12)!=0
x∈R
Domain of the equation: 5(x-10))!=0
x∈R
We calculate fractions
(10xx/(3(x+12)*5(x-10)))+(-12xx/(3(x+12)*5(x-10)))=0
We calculate terms in parentheses: +(10xx/(3(x+12)*5(x-10))), so:
10xx/(3(x+12)*5(x-10))
We multiply all the terms by the denominator
10xx
Back to the equation:
+(10xx)
We calculate terms in parentheses: +(-12xx/(3(x+12)*5(x-10))), so:
-12xx/(3(x+12)*5(x-10))
We multiply all the terms by the denominator
-12xx
Back to the equation:
+(-12xx)
We get rid of parentheses
10xx-12xx=0

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