\[11 - \left( 2 - 3x - x^{2} \right) = x^{2} + x + 5\]
\[11 - 2 + 3x + x^{2} = x^{2} + x + 5\]
\[3x - x = 5 - 9\]
\[2x = - 4\]
\[x = - 2.\]