Answer:
 - 14
Explanation:
{x - some integer}
2x - the first even integer
2x+2 - the second consecutive even integer 
2x+4 - the third consecutive even integer (the largest)
2x + 2x+2 + 2x+4 - the sum of three consecutive even integers
2x + 2x+2 + 2x+4 = -48
 6x + 6 = -48
 ÷3 ÷3
  2x + 2 = -16
 +2 +2
 2x+4 = -14