SOLUTION: how do I work this? the sum of half a number, three times the number,and three-fifths the number is equal to the number minus five.

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Question 717436: how do I work this?
the sum of half a number, three times the number,and three-fifths the number is equal to the number minus five.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number
+%281%2F2%29%2An+%2B+3n+%2B+%283%2F5%29%2An+=+n+-+5+
+%281%2F2%29%2An+%2B+3n+%2B+%283%2F5%29%2An+-+n+=++-+5+
+n%2A%28+5%2F10+%2B+30%2F10+%2B+6%2F10+-+10%2F10+%29+=+-5+
Multiply both sides by +10+
+n%2A%28+5+%2B+30+%2B+6+-+10+%29+=+-50+
+31n+=+-50+
+n+=+-50%2F31+
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check answer:
+n+=+-50%2F31+
+n+=+-1.6129+
+%281%2F2%29%2An+%2B+3n+%2B+%283%2F5%29%2An+=+n+-+5+
+-1.6129%2A%28+.5+%2B+3+%2B+.6+%29+=+-1.6129+-+5+
+-1.6129%2A4.1+=+-6.6129+
+-6.61289+=+-6.6129+
close enough