The sum of three consecutive integers is (-87). Find the three integers.

Let the smallest integer be $x$.

So the three consecutive integers are $x, x+1, x+2$.

Now, according to the problem, 

$x + x + 1 + x + 2 = -87$

$3x + 3 = -87$

$3x = -87-3$

$3x = -90$

$x = \frac{-90}{3}$

$x = -30$

So the numbers are

$x = -30$

$x + 1 = -30 + 1 = -29$

$x + 2 = -30 + 2 = -28$