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

Step 1: Response area Property to get Response area

Step 2: Response area Property to get Response area

There is/are Response area solution(s)

the response areas are the blanks utilize every response area you imbecile

option answers for the response areas:
combine like terms
subtraction property of equality
addition property of equality
multiplication property of equality
division property of equality
infinite
No
One
2x + 16 = 2x + 8
2x + 8 = 2x + 8
2x + 8 = 2x
2x + 24 = 2x
8 = -8
x = -8
x = 8

1 answer

To solve the equation \(2 (x + 8) = 2x + 8\), we will use various properties. Here are the steps filled in according to your instructions:

Step 1: Use the multiplication property of equality to distribute the 2 on the left side of the equation.

Response area: \(2x + 16 = 2x + 8\)


Step 2: Now, use the subtraction property of equality to eliminate \(2x\) from both sides.

Response area: \(16 = 8\)


Now we analyze the result of the second step. Since \(16 = 8\) is a false statement, it indicates that there are no solutions to the original equation.

Thus, the final answers are: There is/are No solution(s).