17. Solve the equation filling in the steps: 2(x−3)+21=−3

Question

(6 points)
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.
Distribute to get Response area

Combine like terms to get Response area

Use the (choose a property) Response area to get (resulting equation) Response area

Use the (choose a property) Response area to get (resulting answer) Response area

Answer 1

Let's solve the equation step by step.

1. Distribute to get:
   \( 2(x - 3) + 21 = -3 \)
   Distributing \(2\) to \(x\) and \(-3\):
   \( 2x - 6 + 21 = -3 \)

2. Combine like terms to get:
   \( 2x + 15 = -3 \)
   (We combined \(-6\) and \(21\) to get \(15\).)

3. Use the addition property of equality to get:
   \( 2x + 15 - 15 = -3 - 15 \)
   This simplifies to:
   \( 2x = -18 \)

4. Use the division property of equality to get:
   \( \frac{2x}{2} = \frac{-18}{2} \)
   This simplifies to:
   \( x = -9 \)

So the final answer is \( x = -9 \).