solve the following equation :2^|x+2|-|2^(x+1)-1|=2^(x+1)+1

Make two cases :Case 1: let 2^(x+1)-1>0 2^(x+1)>1 2^(x+1)>2^0 x+1>0 x>-1Which on further simplification won`t satisfyCase2:2^(x+1)=0Which satisfies the eqn.Case3:2^(x+1)