#### Answer

False

#### Work Step by Step

RECALL:
$|a| = k \longrightarrow a = k \text{ or } a = -k$
In the given equation, $k=0$. Thus, using the rule above gives:
$|x+5| = 0 \longrightarrow x+5 = 0$
Solve the equation to obtain:
$x+5=0
\\x=-5$
Thus, the solution set of the given equation is $\left\{-5\right\}$.
Therefore, the given statement is false.