Answered

What is the solution to this equation?

[tex]\( x - 16 = -8 \)[/tex]

A. [tex]\( x = 24 \)[/tex]

B. [tex]\( x = -24 \)[/tex]

C. [tex]\( x = -8 \)[/tex]

D. [tex]\( x = 8 \)[/tex]



Answer :

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]