11. A student solved the equation: x+2(x+1)=17

Question

Step 1: x+2x+2=17

Step 2: 3x+2=17

Step 3: 3x=15

Step 4: x=45
(3 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.
Identify the property used to arrive at Step 1: Response area

What step includes a mistake made from the previous step? Response area

What should have been the correct answer for x ? Response area

Answer 1

1. Identify the property used to arrive at Step 1: Distributive Property

2. What step includes a mistake made from the previous step? Step 4

3. What should have been the correct answer for x? 5

Here's the breakdown of the equation for clarity:

Starting with:
x + 2(x + 1) = 17

Step 1 (Distributive Property):
x + 2x + 2 = 17

Step 2:
3x + 2 = 17

Step 3:
3x = 15

Step 4 (incorrectly solved):
x = 45

Correct Calculation for Step 4:
x = 15 / 3
x = 5

So, the correct values are:

1. Distributive Property
2. Step 4
3. 5