ANSWER
[tex]x = - 10[/tex]
EXPLANATION
The given equation
[tex]x + 8 = - 2[/tex]
This is a linear equation in x.
To solve this equation, we add the additive inverse of 8 to both sides to get;
[tex]x + 8 + - 8 = - 2 + - 8[/tex]
We simplify to get:
[tex]x + 0 = - 10[/tex]
This implies that,
[tex]x = - 10[/tex]
The correct answer is A.