Let the smallest of the three even integers be x. The next greater even integer is two more than x, so it is x + 2. The next greater even integer is two more than x + 2, so it is x + 4. The three integers are x, x + 2, and x + 4. They add to -84.
x + x + 2 + x + 4 = -84
Now we solve the equation for x.
3x + 6 = -84
3x = -90
x = -30
The smallest of the three numbers is -30.
The next one is x + 2 = -30 + 2 = -28.
The largest one is x + 4 = -30 + 4 = -26
Answer: -30, -28, -26