SOLUTION: If 3 is added to a certain number and the sum multiplied by 2, the result is the same as nine subtracted from three times the number. Find this number.

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Question 169244: If 3 is added to a certain number and the sum multiplied by 2, the result is the same as nine subtracted from three times the number. Find this number.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number, then from the problem description, you can write:
"Two times the sum of the number and three is the same as (=) nine subtracted from three times the number."
2(n+3) = 3n-9 Simplify.
2n+6 = 3n-9 Subtract 2n from both sides.
6 = n-9 Add 9 to both sides.
15 = n
The number is 15.