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Distinct Complex Numbers

Let $ a, $ $ b, $ and $ c $ be distinct complex numbers such that \begin{align*} a^3 &= 2a + 5, \\ b^3 &= 2b + 5, \\ c^3 &= 2c + 5.\end{align*}Find $ a^3 + b^3 + c^3 $.

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$