solve the absolute value,
we know x + 6 = 10 or x + 6 = -10
possibility 1
[tex]\begin{gathered} x+6=10 \\ x=10-6 \\ x=4 \end{gathered}[/tex]possibility 2
[tex]\begin{gathered} x+6=-10 \\ x=-10-6 \\ x=-16 \end{gathered}[/tex]Therefore,
x = 4 or x = -16