Solve each equation. Match the solution with the correct equation. Some answer choices may be unneeded.

Let's solve each equation step by step:

1. **For the equation \(2x - 6 = 24\)**:
\[
2x - 6 = 24 \\
2x = 24 + 6 \\
2x = 30 \\
x = \frac{30}{2} \\
x = 15
\]

2. **For the equation \(2x + 6 = 24\)**:
\[
2x + 6 = 24 \\
2x = 24 - 6 \\
2x = 18 \\
x = \frac{18}{2} \\
x = 9
\]

3. **For the equation \(2(x + 6) = 24\)**:
\[
2(x + 6) = 24 \\
x + 6 = \frac{24}{2} \\
x + 6 = 12 \\
x = 12 - 6 \\
x = 6
\]

4. **For the equation \(2(x - 6) = 24\)**:
\[
2(x - 6) = 24 \\
x - 6 = \frac{24}{2} \\
x - 6 = 12 \\
x = 12 + 6 \\
x = 18
\]

Now we have the solutions for each equation:
- \(2x - 6 = 24\) → \(x = 15\)
- \(2x + 6 = 24\) → \(x = 9\)
- \(2(x + 6) = 24\) → \(x = 6\)
- \(2(x - 6) = 24\) → \(x = 18\)

Now we can match the solutions with the correct equations:
- 15 matches with \(2x - 6 = 24\)
- 9 matches with \(2x + 6 = 24\)
- 6 matches with \(2(x + 6) = 24\)
- 18 matches with \(2(x - 6) = 24\)

Responses:
- **15**: \(2x - 6 = 24\)
- **9**: \(2x + 6 = 24\)
- **6**: \(2(x + 6) = 24\)
- **18**: \(2(x - 6) = 24\)