Difficult# Isosceles Triangles and Triangle Sum Theorem

ACTMAT-JKT4IM

Triangle ABC is an isosceles triangle with vertex A and $AB = AC.$ Points D and E are placed on segments AB and AC, respectively, so that $CD = DE = AE.$ Refer to the figure below.

If the $ m{\angle }A = x $, what is $ m{\angle }BCD $ (in degrees) in terms of $x$?