Question

2(x+8)=2x+8
Solve the equation using the property and the steps:  Step 1:  Response area Property to get Response areaStep 2:  Response area Property to get Response areaThere is/are Response area solution(s)

Answer 1

To solve the equation \( 2(x + 8) = 2x + 8 \), we will use the distributive property and then simplify. Let's go step by step.

### Step 1: Apply the Distributive Property
We start with the equation:

\[
2(x + 8) = 2x + 8
\]

Using the distributive property, we distribute \(2\) to both \(x\) and \(8\):

\[
2 \cdot x + 2 \cdot 8 = 2x + 8
\]

This simplifies to:

\[
2x + 16 = 2x + 8
\]

### Step 2: Subtract \(2x\) from both sides
Next, we will isolate the constant terms by subtracting \(2x\) from both sides:

\[
2x + 16 - 2x = 2x + 8 - 2x
\]

This simplifies to:

\[
16 = 8
\]

### Conclusion
The equation \(16 = 8\) is a false statement, meaning that there are no values of \(x\) that satisfy the equation.

Therefore, there are **no solutions** to the equation \(2(x + 8) = 2x + 8\).