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

Question

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).

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 2x + 16 resulting equation.

• Distributing \(2\) on the left side: \[ 2x + 16 = 2x + 8 \]

Step 2:

Use the Subtraction Property to get 16 = 8 resulting equation.

• Subtracting \(2x\) from both sides: \[ 16 = 8 \]

Step 3:

There is/are no solution(s).

• The equation \(16 = 8\) is a contradiction, indicating that there are no values of \(x\) that will satisfy the original equation.

So the filled-in steps would look like this:

Step 1: Use the Distributive Property to get 2x + 16 resulting equation.

Step 2: Use the Subtraction Property to get 16 = 8 resulting equation.

Step 3: There is/are no solution(s).