Identify the steps followed to solve the equation 5−3(x+3)=11−8x

Question

. Properties may be used more than once.(5 points)
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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