Find three consecutive integers

Find three consecutive integers whose sum is -114.

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x = 1st 
x + 1 = 2nd   {consecutive integers increase by 1 each time}
x + 2 = 3rd

x + x + 1 + x + 2 = - 114   {their sum is -114}
3x + 3 = -114   {combined like terms}
3x = -117   {subtracted 3 from both sides}
x = -39   {divided both sides by 3}
x + 1 = -38   {substituted -39, in for x, into x + 1}
x + 2 = -37   {substituted -39, in for x, into x + 2}

-39, -38, and -37 are the three consecutive integers

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