Answer:
17, 18, 19, 20, 21
Step-by-step explanation:
Let x represent the third (middle) integer. Then the first is (x-2) and the given relation is ...
(x-2) + 3(x+1) = -39 +2((x-1)+x+(x+2))
4x +1 = 6x -37 . . . . simplify
38 = 2x . . . . . . . . . add 37-4x
x = 19 . . . . . . . . . . divide by 2
The integers are ...
17, 18, 19, 20, 21
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<em>Check</em>
17 + 3·20 = -39 +2(18 +19 +21)
17 +60 = -39 +2(58)
77 = -39 +116 . . . . . yes
