Question

Solve the following equation: 4(x + 2) – 17 = 35

(1 point)
Responses

–11
–11

Image with alt text: twenty-five over two

15
15

11
11
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 4(x + 2) - 17 = 35, we need to first simplify the expression on the left side.

First, distribute the 4 to terms inside the parentheses: 4x + 8 - 17 = 35.

Combine like terms: 4x - 9 = 35.

Next, add 9 to both sides of the equation to isolate the term with x: 4x = 44.

Finally, divide both sides of the equation by 4 to solve for x: x = 11.

Therefore, the solution to the equation is x = 11.

Answer 2

Solve the following equation: 6x + 12 = 4x – 18

(1 point)
Responses

–15
–15

15
15

–3
–3

3
3
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Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the equation 6x + 12 = 4x - 18, we need to isolate the term with x on one side of the equation.

First, combine like terms by subtracting 4x from both sides: 6x - 4x + 12 = 4x - 4x - 18.

This simplifies to 2x + 12 = -18.

Next, subtract 12 from both sides: 2x + 12 - 12 = -18 - 12.

This simplifies to 2x = -30.

Finally, divide both sides of the equation by 2 to solve for x: x = -15.

Therefore, the solution to the equation is x = -15.

Answer 4

Solve the following equation: (4x – 10) + 5 = x – 11

(1 point)
Responses

11
11

6
6

–11
–11

–6
–6
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Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the equation (4x - 10) + 5 = x - 11, we need to first simplify the expression on both sides.

First, simplify the left side: 4x - 10 + 5 = x - 11.

Combine like terms on the left side: 4x - 5 = x - 11.

Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.

This simplifies to 3x - 5 = -11.

Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.

This simplifies to 3x = -6.

Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.

Therefore, the solution to the equation is x = -2.

Answer 6

-2 is not a answer

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's solve the equation again.

To solve the equation (4x - 10) + 5 = x - 11, we need to first simplify the expression on both sides.

First, simplify the left side: 4x - 10 + 5 = x - 11.

Combine like terms on the left side: 4x - 5 = x - 11.

Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.

This simplifies to 3x - 5 = -11.

Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.

This simplifies to 3x = -6.

Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.

x = -6/3 simplifies to x = -2.

Therefore, the solution to the equation is x = -2.