Answer :
[tex]
-2(x+1)-3=-9\ \ \ \ \ |omiting\ the\ bracket\\\\
-2x-2-3=-9\\\\
-2x-5=-9\ \ \ \ |add\ 5\ to\ each\ side\\\\
-2x=-9+5\\\\
-2x=-4\ \ \ \ |divide\ by\ -2\\\\
x=2\\\\Solution\ is\ x=2.[/tex]
[tex]-2(x+1)-3=-9 \\\\ -2x-2-3=-9 \\\\ -2x-5=-9 \\\\ -2x=-9+5 \\\\ -2x=-4 \\\\ \boxed{x=\frac{-4}{-2}=2}[/tex]