To solve the equation [tex]\( x + 8 = -2 \)[/tex], follow these steps:
1. Isolate the variable [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], we need to eliminate the constant term on the left side of the equation. Currently, [tex]\( x \)[/tex] is being added to 8. To undo this addition, we will subtract 8 from both sides of the equation.
2. Subtract 8 from both sides:
- [tex]\( x + 8 - 8 = -2 - 8 \)[/tex]
- Simplifying both sides, we get [tex]\( x = -10 \)[/tex]
So, the solution to the equation [tex]\( x + 8 = -2 \)[/tex] is [tex]\( x = -10 \)[/tex].
Therefore, the correct answer is:
D. [tex]\( x = -10 \)[/tex]
