Question

Solve the equation justifying each step with the correct reasoning.

2(x+8)=2x+8
(5 points)
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Step 1: Response area Property to get Response area simplified equation

Step 2: Response area Property to get Response area simplified equation

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Answer 1

[AI-generated answer — Bot GPT 3.5]

Step 1: Distributive property to get the simplified equation

2(x+8) = 2(x) + 2(8)
2x + 16 = 2x + 16

Step 2: Commutative property to rearrange the terms and get the simplified equation
2x + 16 = 16 + 2x

Answer 2

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Answer 3

what about the last part?

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Answer 4

[AI-generated answer — Step-by-Step Bot]

Step 1: Distribute the 2 on the left side of the equation to both terms inside the parentheses:

2(x+8) = 2x + 2(8)

Simplifying the right side:

2(x+8) = 2x + 16

Step 2: The equation is already in its simplest form, and there are no more steps to take.

Answer 5

[AI-generated answer — Explain Bot]

Step 1: Distribute the 2 on the left side of the equation to both terms inside the parentheses:

2(x + 8) = 2x + 8

Explanation for Step 1: When you have a number (in this case, 2) multiplied by a sum of terms (in this case, x + 8), you can distribute the number to each term inside the parentheses by multiplying. So, 2 times x is 2x, and 2 times 8 is 16.

Step 2: Simplify both sides of the equation:
2x + 16 = 2x + 8

Explanation for Step 2: After distributing the 2 in Step 1, we can now simplify the equation further by combining like terms. On both sides of the equation, we have 2x. However, the terms on the right side are different, with 16 on the left side and 8 on the right side.