SOLUTION: Find three consecutive even integers such that the sum of three times the first integer, one-third the second integer, and eight times the third integer is -58. Thankyou

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Question 162820: Find three consecutive even integers such that the sum of three times the first integer, one-third the second integer, and eight times the third integer is -58.
Thankyou

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive even integers
x, (x+2), (x+4)
:
such that the sum of three times the first integer, one-third the second integer, and eight times the third integer is -58
3x + 1%2F3(x+2) + 8(x+4) = -58
:
3x + 1%2F3x + 2%2F3 + 8x + 32 = -58
:
111%2F3x + 322%2F3 = -58
:
111%2F3x = -58 - 322%2F3
:
111%2F3x = -902%2F3
Multiply equation by 3
34x = -272
x = %28-272%29%2F34
x = -8
:
The three numbers: -8, -6, -4
:
You can check solution in the original equation