SOLUTION: the second of three consecutive odd numbers diminished by twice the third and increased by 16 gives a value that is three times that of the first number diminished by 2. I need hel

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Question 756387: the second of three consecutive odd numbers diminished by twice the third and increased by 16 gives a value that is three times that of the first number diminished by 2. I need help figuring out what the integers are.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be our first odd integer, then x+2 and x+4 are the second and third consecutive odd integers.
now from the word problem we can write
3x -2 = (x+2) -2*(x+4)+16
3x -2 = x+2 -2x-8 +16
3x = x+4 -2x-8 +16
3x = -x +12
4x = 12
x=3
so our three consecutive odd integers are 3, 5, 7