Trigonometry - Trigonometric Equations

Solve each of the following equations.

1. \(\frac{\tan 15^\circ + \tan x}{1 - \tan x \tan 15^\circ} = 2, 0^\circ \le x \le 360^\circ\)
2. \(2 \sec(x + 60^\circ) = 5 \sec(x - 20^\circ), 0^\circ \le x \le 360^\circ\)