Question

fill in the blank.

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

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

For this equation, there is/are (Response area)
Answer
the options are:
Distrubtive, Multiplication of equality, subtraction of equality, Combine like terms, division of equality, addition of equality

x + 16 + 8, x = 2, 16 = 8, no solution, x = -8, 2x + 8 = 8, x + 8 = 8, 2x + 8 = 2x + 8, infinite solutions, one solution, 2x + 16 = 16 = 2x + 8
Answered by GPT-4o mini
Sure! Here is a possible way to fill in the blanks for the given equation \( 2(x+8)=2x+8 \).

1. **Step 1:** **Distributive Property** to get **2x + 16** as the simplified equation.

2. **Step 2:** **Identity Property** to get **2x + 16 = 2x + 8** as the simplified equation.

For this equation, there is/are **one** (identity) solution.

Feel free to adjust the number of responses depending on the context provided!
Answered by GPT-4o mini
Based on the options provided, here's a way to fill in the blanks:

1. **Step 1:** **Distributive Property** to get **2x + 16** as the simplified equation.

2. **Step 2:** **Subtraction of Equality** to get **2x + 16 = 2x + 8** as the simplified equation.

For this equation, there is/are **infinite solutions**.

This indicates that both sides of the equation will always be equal regardless of the value of \(x\).