Start from the solution to find the two-step inequality:
[tex]\begin{gathered} x>-8 \\ x>-\frac{16}{2} \\ 2x>-16 \\ 2x>-10-6 \\ 2x+6>-10 \end{gathered}[/tex]Now, do the same procedure but in reverse (this will be the answer):
[tex]\begin{gathered} 2x+6>-10 \\ 2x>-16 \\ x>-\frac{16}{2} \\ x>-8 \end{gathered}[/tex]