Hi

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

Write as we Read***

 -5[ x + (x+1)] = 2(x+1) -43

solving for x

  -10x - 5 = 2x - 41

        36 = 12x

         3 = x   The three consecutive integers are 3,4,5

CHECKING our Answer***

 -5*7 = 2*4 - 43 = -35 

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