Question

| 1 + | 3 + x || -2 = 0

Answer 1

$\displaystyle \bigg|1+|3+x|\bigg|-2=0\\\bigg|1+|3+x|\bigg|=2\\1+|3+x|=2; 1+|3+x|=-2\\\\\\ |3+x|=1; |3+x|=-3\\\\|3+x|=1; |3+x|\neq -3\\\\3+x=1; 3+x=-1\\\\x=-2;x=-4$