2/3(x+4)=4/5(x-1)

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Solution for 2/3(x+4)=4/5(x-1) equation:



2/3(x+4)=4/5(x-1)
We move all terms to the left:
2/3(x+4)-(4/5(x-1))=0
Domain of the equation: 3(x+4)!=0
x∈R
Domain of the equation: 5(x-1))!=0
x∈R
We calculate fractions
(10xx/(3(x+4)*5(x-1)))+(-12xx/(3(x+4)*5(x-1)))=0
We calculate terms in parentheses: +(10xx/(3(x+4)*5(x-1))), so:
10xx/(3(x+4)*5(x-1))
We multiply all the terms by the denominator
10xx
Back to the equation:
+(10xx)
We calculate terms in parentheses: +(-12xx/(3(x+4)*5(x-1))), so:
-12xx/(3(x+4)*5(x-1))
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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