Answer
sometimes
Work Step by Step
If $x \geq 0$, we know that $|x| = x$ and thus $|x| + |x| = x + x = 2x$.
But if $x \lt 0$, then $|x| = –x$ and we’d have that $|x| + |x| = (–x) + (–x) = –2x$.
For example, if $x = 3$:
$|3| + |3| = 3 + 3 = 6 = 2(3)$
But if, say, $x = –3$:
$|–3| + |–3| = 3 + 3 = 6 \ne 2(–3)$
Therefore, the given statement is only true if $x$ is positive (or zero).
Thus, the answer is “sometimes”.
