[latex]| x + 4 | = 6 \\ \\ x+4 =6 \ \ \ or \ \ \ x+4 = -6 \\ \\ x =6-4 \ \ \ or \ \ \ x = -6 -4 \\ \\ x=2 \ \ \ or \ \ \ x=-10[/latex]

[latex]| x + 4 | = 6 \\ x+4=6 \vee x+4=-6\\ x=2 \vee x=-10[/latex]