SOLUTION: find 3 consecutive integers such that the sum of twice the second and three times the third is 5 less that six times the first

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Question 399115: find 3 consecutive integers such that the sum of twice the second and three times the third is 5 less that six times the first
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Find three consecutive integers 

Let x, (x+1), (x+2) represent the three consecutive integers respectively

Question states***

  2(x+1) + 3(x+2) = 6x - 5

  Solving for x

     5x + 8 = 6x - 5           

         13 = x  The three consecutive integers are 13,14,15          

CHECKING our Answer***

    2*14 + 3*15 = 73 = 78 - 5