Let the integer be x, its additive integer will be -x.
Now the integer is 4 more than its additive inverse, means, x is 4 more than -x, it means,
if we add 4 to its additive inverse -x, we get, the integer x.
Thus, the expression will be
x = -x + 4
x + x = 4
2x = 4
x = 2.
Hence, the answer.