2(x+8)=2x+8

Question

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 \(2(x + 8) = 2x + 8\).