Solve the equation justifying with the correct reasoning: 2(x+8)=2x +8

Question

(5 points)

2(x+8)=2x +8
Step 1: Response area Property to get Response area

Step 2: Response area Property to get Response area

For this equation, there is/are Response area

Answer 1

only one solution, which is x = 0.

Reasoning:
Step 1: To solve the equation, we can begin by distributing the 2 to both terms inside the parentheses:

2(x + 8) = 2x + 16

Step 2: Simplifying the equation further, we have:

2x + 16 = 2x + 8

Now, we can subtract 2x from both sides to isolate the constant term:

16 = 8

However, since this statement is false, there is no solution for the given equation.

Answer 2

repeat but with different steps (still have the same 2 number amount of steps)

Answer 3

Sure, here is an alternative way to solve the equation in two steps:

Step 1: Distribute the 2 to both terms inside the parentheses:

2(x + 8) = 2(x) + 2(8)

This simplifies to:

2x + 16 = 2x + 16

Step 2: Subtract 2x from both sides to isolate the constant term:

2x - 2x + 16 = 2x - 2x + 16

This simplifies to:

16 = 16

Since this statement is true, the equation has infinitely many solutions. Any value of x will satisfy the equation.

Answer 4

why are you providing different answers every time i ask you the SAME question

Answer 5

I apologize for the confusion. There was a mistake in my previous response.

Let's solve the equation again:

Step 1: Distribute the 2 to both terms inside the parentheses:

2(x + 8) = 2x + 16

This simplifies to:

2x + 16 = 2x + 16

Step 2: Subtract 2x from both sides to isolate the constant term:

2x - 2x + 16 = 2x - 2x + 16

This simplifies to:

16 = 16

Since this statement is true, the equation has infinitely many solutions. Any value of x will satisfy the equation.