Answer
sometimes
Work Step by Step
As long as $x + 2$ is positive or zero, the statement is true.
For example:
If $x = 3$,
$|x + 2| = |3 + 2| = |5| = 5\\$
while
$\\x + 2 = 3 + 2 = 5$
And so in this case, $|x + 2| = x + 2$ because $5$ is indeed equal to $5$.
But, if $x + 2$ comes out negative, the statement is false.
For example, let’s say $x = –3$, then:
$|x + 2| = |–3 + 2| = |–1| = 1\\$
while
$x + 2 = –3 + 2 = –1$
And $1\ne -1$
Therefore, the given statement is only sometimes true.