#### Answer

$-4-5i$

#### Work Step by Step

Removing the grouping symbols and then adding the real parts and the imaginary parts, the given expression, $
(5-3i)-(9+2i)
,$ simplifies to
\begin{array}{l}\require{cancel}
5-3i-9-2i
\\\\=
(5-9)+(-3i-2i)
\\\\=
-4-5i
.\end{array}