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

Question

(5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1: Use the Response area Property to get Response area resulting equation.

Step 2: Use the Response area Property to get Response area resulting equation.

Step 3: There is/are Response area solution(s).

Properties
distributive infinite subtraction of equality
addition of equality one
division of equality no
combining like terms
multiplication of equality
Resulting Equations
2x + 16 = 2x + 8 2x +8 = 2x + 8
x=8 x=16 16=8
x+16 = 2x +8 x=0 8=8
Step 3: Types of Solutions
no one infinite

Answer 1

To solve the equation \( 2(x + 8) = 2x + 8 \), here are the steps:

Step 1: Use the distributive property to get the resulting equation.

We apply the distributive property: \[ 2(x + 8) = 2x + 16 \] Resulting equation: \[ 2x + 16 = 2x + 8 \]

Step 2: Use the subtraction of equality property to get the resulting equation.

Subtract \( 2x \) from both sides: \[ 2x + 16 - 2x = 2x + 8 - 2x \] Resulting equation: \[ 16 = 8 \]

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

Since \( 16 = 8 \) is a false statement, the equation does not have any solution.

So your final input would be:

• Step 1: Use the distributive property to get 2x + 16 = 2x + 8.
• Step 2: Use the subtraction of equality property to get 16 = 8.
• Step 3: There is/are no solution(s).