I'm really sorry I made a mistake but, again how do you solve this question and can you please explain?

let's say x is the first of the numbers, so, the next ones are (x +2), (x + 4), (x + 6), ( x +8).

here they are again: x, (x +2), (x + 4), (x + 6), ( x +8). We can tell here that (x + 4) is the middle number,

so, here's the equation:

x + (x +2) + (x +4) + (x + 6) + (x + 8) = 10 + 4(x + 4)

5x + 20 = 10 + 4x + 16

5x + 20 = 4x + 26

subtract 20 from both sides:

5x + 20 -20 = 4x + 26 -20 ----> 5x = 4x + 6

now, subtract 4x from both sides:

5x - 4x = 4x - 4x + 6

so x = 6.

so, the consecutive even integers are:

**6, 8, 10, 12, 14**