Question

Identify the steps followed to solve the equation 5−3(x+3)=11−8x
. Properties may be used more than once.(5 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.
5−3x−9=11−8x
−3x−4=11−8x
5x−4=11
5x=15
x=3

the answer choices are

Distributive Property

Combine Like Terms

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

Answer 1

Here are the steps followed to solve the equation \(5 - 3(x + 3) = 11 - 8x\) with the corresponding properties:

1. **Distributive Property**: \(5 - 3(x + 3) = 5 - 3x - 9\)
2. **Combine Like Terms**: \(5 - 3x - 9 = -3x - 4\)
3. **Addition Property of Equality**: \(-3x - 4 = 11 - 8x\) (adding \(8x\) to both sides)
4. **Combine Like Terms**: \(5x - 4 = 11\)
5. **Addition Property of Equality**: \(5x = 15\) (adding \(4\) to both sides)
6. **Division Property of Equality**: \(x = 3\) (dividing both sides by \(5\))

So the responses for each step are:

1. **Distributive Property**
2. **Combine Like Terms**
3. **Addition Property of Equality**
4. **Combine Like Terms**
5. **Addition Property of Equality**
6. **Division Property of Equality**