Question

Solve the equation for x.

25
(2x − 12) = −28
Responses
A −18−18
B −29−29
C −32−32
D −9

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we need to isolate the variable by moving the constant term to the other side of the equation.

25(2x - 12) = -28

Divide both sides of the equation by 25.

2x - 12 = -28/25

Add 12 to both sides of the equation.

2x = -28/25 + 12

Simplify the fraction on the right side.

2x = (-28 + 300)/25

Combine like terms.

2x = 272/25

Divide both sides of the equation by 2.

x = (272/25)/2

Simplify the right side of the equation.

x = 272/50

Reduce the fraction.

x = 136/25

The solution for x is 136/25.

Therefore, the correct answer is not provided in the options.

Answer 2

u sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Let's reevaluate the equation:

25(2x - 12) = -28

First, distribute the 25 to the terms inside the parentheses:

50x - 300 = -28

Next, move the constant term to the other side by adding 300 to both sides:

50x = -28 + 300

Simplifying:

50x = 272

Finally, divide both sides by 50 to solve for x:

x = 272/50

Simplifying the fraction:

x = 136/25

So, the correct answer is indeed x = 136/25. Apologies for the earlier confusion.

Answer 4

[AI-generated answer — Explain Bot]

To solve the equation (2x - 12) = -28, we need to isolate the variable x. Here's how you can do it step by step:

Step 1: Start with the equation (2x - 12) = -28.

Step 2: To isolate the term with x, we first need to get rid of the constant term (-12) on the left side. We can do this by adding 12 to both sides of the equation:

(2x - 12) + 12 = -28 + 12

Simplifying the equation, we get:

2x = -16

Step 3: To further isolate x, we need to get rid of the coefficient 2 in front of x. We can do this by dividing both sides of the equation by 2:

2x/2 = -16/2

Simplifying the equation, we get:

x = -8

Therefore, the solution to the equation (2x - 12) = -28 is x = -8.

So, the correct answer is not among the options listed.