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

(5 points)
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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
Resulting Equations
Step 3: Types of Solutions
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1 answer

Let's solve the equation step by step:

The original equation is:

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

Step 1: Distribute the left side of the equation.

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

So the Resulting Equation is: \(2x + 16 = 2x + 8\).

Step 2: Subtract \(2x\) from both sides of the equation.

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

So the Resulting Equation is: \(16 = 8\).

Step 3: Since \(16 = 8\) is a false statement, there are no solutions.

So the answer for types of solutions is: "no solution".

Putting it all together:

  • Step 1: Resulting Equation: \(2x + 16 = 2x + 8\)
  • Step 2: Resulting Equation: \(16 = 8\)
  • Step 3: There are no solution(s).