\[\boxed{\mathbf{52}.}\]
\[15 - 2 \cdot (x + 2) < x - 10\]
\[15 - 2x - 4 - x < - 10\]
\[- 3x < - 10 - 11\]
\[- 3x < - 21\]
\[x > 7\]
\[x_{наим} = 8.\]
\[Ответ:\ x_{наим} = 8.\]