Find the smallest positive integer solution to \tan 19 x^{\circ}=\frac{\cos 96^{\circ}+\sin 96^{\circ}}{\cos 96^{\circ}-\sin 96^{\circ}}.
Find the smallest positive integer solution to \tan 19 x^{\circ}=\frac{\cos 96^{\circ}+\sin 96^{\circ}}{\cos 96^{\circ}-\sin 96^{\circ}}.