2sin(p/3-x/4)=√3/2 решить уравнение

Решите задачу:

$2sin( \frac{\pi}{3} - \frac{x}{4} )= \frac{\sqrt{3}}{2} \\sin( \frac{\pi}{3} - \frac{x}{4} )= \frac{\sqrt{3}}{4} \\ \frac{\pi}{3} - \frac{x}{4}=arcsin( \frac{\sqrt{3}}{4})+2\pi n,\ n \in Z\\\frac{x}{4}=\frac{\pi}{3}-arcsin( \frac{\sqrt{3}}{4})-2\pi n,\ n \in Z\\x_1= \frac{4\pi}{3} -4arcsin( \frac{\sqrt{3}}{4})-8\pi n,\ n \in Z\\\frac{\pi}{3} - \frac{x}{4}=\pi-arcsin( \frac{\sqrt{3}}{4})+2\pi n,\ n \in Z\\ \frac{x}{4}= \frac{\pi}{3} -\pi+arcsin( \frac{\sqrt{3}}{4})-2\pi n,\ n \in Z\\x_2=- \frac{8\pi}{3} +4arcsin( \frac{\sqrt{3}}{4})-8\pi n,\ n \in Z$