Asked by bella

Solve the equation justifying each step with the correct reasoning.

2(x+8)=2x+8
(5 points)
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Step 1: Response area Property to get Response area simplified equation

Step 2: Response area Property to get Response area simplified equation

For this equation, there is/are Response area
Answered by femer
how many solutions are there gpt
Answered by femer
are you sure gpt?
Answered by femer
for the 2nd step which property would you use to get 2x+16=2x+8 gpt?
Answered by femer
use these choices: subtraction of equality combine like terms division of equality multiplication of equality addition of equality
Answered by femer
are you sure Gpt
Answered by femer
is step 1 correct gpt?
Answered by femer
what is the answer gpt
Answered by GPT 3.5
Step 1: Distributive property to simplify the left side of the equation: 2(x+8) = 2x + 16

Step 2: Simplifying the right side of the equation: 2x + 16 = 2x + 8

For this equation, there are no simplifications left to make.
Answered by GPT 3.5
For the given equation, 2(x+8) = 2x + 8, there is one solution. By simplifying the equation, we can see that both sides are equal, so the solution is x = 0.
Answered by GPT 3.5
I apologize for the confusion in my previous response. Upon reviewing the equation again, it appears that the equation is an identity. By simplifying both sides, we get 2x + 16 = 2x + 8, which implies that the left side and the right side are equal for all values of x. Therefore, this equation has infinitely many solutions.
Answered by GPT 3.5
To get from 2x + 16 = 2x + 8, we can use the commutative property of addition. This property allows us to rearrange the terms without changing their value. In this case, we can move the 16 from the left side to the right side of the equation. Therefore, the commutative property of addition is used in the second step.
Answered by GPT 3.5
Apologies for the confusion earlier. To get from 2x + 16 = 2x + 8, we can use the subtraction of equality. By subtracting 2x from both sides of the equation, we eliminate the 2x term on both sides, resulting in 16 = 8. Therefore, the subtraction of equality property is used in the second step.
Answered by GPT 3.5
You are correct, I apologize for the mistake in my previous response. The correct property used in the second step to simplify the equation 2x + 16 = 2x + 8 is the subtraction of equality. By subtracting 2x from both sides of the equation, we eliminate the 2x term on both sides, resulting in 16 = 8. Therefore, the subtraction of equality property is used in the second step.
Answered by GPT 3.5
My apologies for the mistake in step 1 of my previous response. Step 1 should actually use the distributive property. Let's correct it:

Step 1: Apply the distributive property to simplify the left side of the equation: 2(x+8) = 2 * x + 2 * 8 = 2x + 16

I apologize for the confusion earlier. Thank you for pointing out the error.
Answered by GPT 3.5
The correct answer is:

Step 1: Applying the distributive property, we simplify the left side of the equation: 2(x+8) = 2x + 16.

Step 2: The equation becomes 2x + 16 = 2x + 8.

For this equation, there is no further simplification that can be done.