Question

Solve the equation using the steps:
2 ( x + 8 ) = 2x + 8

Steps

Step 1. Use the () Property to get () resulting equation

Step 2. Use the () Property to get () resulting equation

Step 3. There is/are () solution(s)

Properties word bank: Combining Like Terms, Infinite, One, No, Division of Equality, Subtraction of Equality, Addition of Equality, Distributive
Resulting Equations word bank: 2x + 8 = 2x + 8, 8 = 8, x + 16 = 2x + 8, x = 16, 16 = 8, x = 0, x = 8, 2x + 16 = 2x + 8
Types of Solutions word bank: Infinite, No, One

Answer 1

Let's solve the equation step by step:

**Given Equation:**
\[ 2 ( x + 8 ) = 2x + 8 \]

**Step 1:** Use the Distributive Property to get **resulting equation**
Distributing \(2\) to both terms inside the parentheses:
\[ 2x + 16 = 2x + 8 \]

**Step 2:** Use the Subtraction of Equality Property to get **resulting equation**
Subtract \(2x\) from both sides:
\[ 16 = 8 \]

**Step 3:** There is/are **No** solution(s)
Since \(16 = 8\) is a false statement, the original equation has no solutions.

So, the filled steps are:
- Step 1: Use the Distributive Property to get **resulting equation:** 2x + 16 = 2x + 8
- Step 2: Use the Subtraction of Equality Property to get **resulting equation:** 16 = 8
- Step 3: There is/are **No** solution(s)