1/2(10+n)=1/3(15n+15)

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Solution for 1/2(10+n)=1/3(15n+15) equation:



1/2(10+n)=1/3(15n+15)
We move all terms to the left:
1/2(10+n)-(1/3(15n+15))=0
Domain of the equation: 2(10+n)!=0
n∈R
Domain of the equation: 3(15n+15))!=0
n∈R
We add all the numbers together, and all the variables
1/2(n+10)-(1/3(15n+15))=0
We calculate fractions
(3n1/(2(n+10)*3(15n+15)))+(-2nn/(2(n+10)*3(15n+15)))=0
We calculate terms in parentheses: +(3n1/(2(n+10)*3(15n+15))), so:
3n1/(2(n+10)*3(15n+15))
We multiply all the terms by the denominator
3n1
We add all the numbers together, and all the variables
3n
Back to the equation:
+(3n)
We calculate terms in parentheses: +(-2nn/(2(n+10)*3(15n+15))), so:
-2nn/(2(n+10)*3(15n+15))
We multiply all the terms by the denominator
-2nn
Back to the equation:
+(-2nn)
We get rid of parentheses
3n-2nn=0

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