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

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
2x - 6 = 24
2x + 6 = 24
2(x + 6) = 24
2(x - 6) = 24

9
6
18
15

Answer 1

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: \(2(x - 6) = 24\)