To solve the equation [tex]\( x + 8 = -2 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Isolate [tex]\( x \)[/tex]:
- The goal is to get [tex]\( x \)[/tex] by itself on one side of the equation.
- Since the equation currently has [tex]\( x + 8 \)[/tex], we need to remove the 8 from the left side.
2. Subtract 8 from both sides:
- To isolate [tex]\( x \)[/tex], subtract 8 from both sides of the equation:
[tex]\[ x + 8 - 8 = -2 - 8 \][/tex]
- This simplifies to:
[tex]\[ x = -2 - 8 \][/tex]
3. Simplify the right side:
- Perform the subtraction on the right side:
[tex]\[ x = -10 \][/tex]
Therefore, the solution to the equation [tex]\( x + 8 = -2 \)[/tex] is [tex]\( x = -10 \)[/tex].
So, the correct answer is:
C. [tex]\( x = -10 \)[/tex]
