Sure, let's solve the equation step-by-step.
The given equation is:
[tex]\[
x - 16 = -8
\][/tex]
To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\(-16\)[/tex] on the left side. We can do this by adding 16 to both sides of the equation. Here's how it works:
1. Start with the original equation:
[tex]\[
x - 16 = -8
\][/tex]
2. Add 16 to both sides to cancel out the [tex]\(-16\)[/tex] on the left side:
[tex]\[
x - 16 + 16 = -8 + 16
\][/tex]
3. Simplify both sides of the equation:
[tex]\[
x = 8
\][/tex]
Thus, the solution to the equation [tex]\( x - 16 = -8 \)[/tex] is [tex]\( x = 8 \)[/tex].
Among the given options, the correct answer is:
[tex]\[
\boxed{x = 8}
\][/tex]
So the correct choice is:
D. [tex]\( x = 8 \)[/tex]
