SOLUTION: Double the sum of a number and 6 is the same as 15 more than triple the same number. find the number

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Question 73144: Double the sum of a number and 6 is the same as 15 more than triple the same number. find the number
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
"Double the sum of a number and 6..." If n is the number then this can be written...2%28n%2B6%29
"...is the same as (=) 15 more than triple the same number." This can be written...3n%2B15. Put it all together and you get:
2%28n%2B6%29+=+3n%2B15 Simplify and solve for n.
2n%2B12+=+3n%2B15 Subtract 2n from both sides.
12+=+n%2B15 Subtract 15 from both sides,
-3+=+n
The number is -3
Check:
Double the sum of a number and 6. 2(-3+6) = 2(3) = 6
Fifteen more than triple the same number. 3(-3)+15 = -9+15 = 6