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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
distributive

1 answer

To solve the equation \(2 (x + 8) = 2x + 8\), we can follow the instructions using the appropriate properties and response areas. Here are the steps:

Step 1: Use the distributive property to simplify the left side of the equation.

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

The equation now reads:

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

Step 2: Use the subtraction property of equality to eliminate \(2x\) from both sides of the equation.

Subtract \(2x\) from both sides:

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

This simplifies to:

\[ 16 = 8 \]

At this point, we see that \(16 = 8\) is a false statement.

There are no solutions to the equation since the original equation leads to a contradiction.

Thus the responses are:

  1. Response area Property to get Response area: distributive
  2. Response area Property to get Response area: subtraction property of equality

There is/are no solution(s).

So the complete answer would be:

  1. distributive
  2. subtraction property of equality

There is/are no solution(s).