Let,
x = first consecutive even number
x + 2 = second consecutive even number
...
x + 8 = fifth consecutive even number
The second statement is expressed as
x + 8 = 3x + 4
x - 3x = 4 - 8
-2x = -4
x = 2
So the five consecutive integers are 2, 4, 6, 8, 10. The sum of these numbers are 2+4+6+8+10=30