Number of solutions of the equation |2−|x∥=x+4 is

|2−|x∥=x+4                              (i)⇒ 2−|x|=x+4                       (ii) or  |x|−2=x+4                       (iii)From (i) 2−x=x+4 or x=−1But this value does not satisfy (i).From (iii), −x−2=x+4 or x=−3, which satisfies (i).So, equation has only one solution.