Solve the equation justifying each step with the correct reasoning.

Question

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

Answer 1

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.

Answer 2

how many solutions are there gpt

Answer 3

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.

Answer 4

are you sure gpt?

Answer 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.

Answer 6

for the 2nd step which property would you use to get 2x+16=2x+8 gpt?

Answer 7

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.

Answer 8

use these choices: subtraction of equality combine like terms division of equality multiplication of equality addition of equality

Answer 9

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.

Answer 10

Solve the equation justifying each step with the correct reasoning.

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

how many solutions are there gpt

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.

are you sure gpt?

for the 2nd step which property would you use to get 2x+16=2x+8 gpt?

use these choices: subtraction of equality combine like terms division of equality multiplication of equality addition of equality

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.

are you sure Gpt