Answer
false
Work Step by Step
Substitute $-3$ to $x$ in the given equation to obtain:
$\sqrt{5(-3) + 16}=-3+2
\\\sqrt{-15+16} = -1
\\\sqrt{1} = -1
\\1=-1$
$-1$ does not satisfy the equation so it is NOT a solution of the equation.
Thus, the given statement is false.