Question

Four less than twice a number equals the same number multiplied by 30. What is the number?

A) -10
B) -5
C) 10
D) 5

Answer 1

Upon finding the equation 2x - 4 = 30x and solving for x, the answer was found to be -1/7, which does not match any of the given answer choices. The correct answer should be one of the provided choices, which suggests an error in the assumptions, calculations, or the choices themselves.

Step-by-step explanation:

The question asks us to find the number for which four less than twice the number is equal to the number multiplied by 30. To solve this, we can set up an equation based on the given information. Let's use 'x' to represent the unknown number.

So, our equation based on the problem statement will look like this:

2x - 4 = 30x

Now we will solve for 'x':

1. Subtract 2x from both sides of the equation to get all x terms on one side:
2. -4 = 28x
3. Divide both sides by 28 to solve for 'x':
4. x = -4/28
5. Simplify the fraction:
6. x = -1/7

However, if we look at the answer choices given A) -10 B) -5 C) 10 D) 5, none of them matches -1/7. So we must have made an error in the assumptions or the calculations, or the answer choices provided might be incorrect as per the question. Given the correct equation, we can find the correct answer, which should match one of the given choices.

Let's re-evaluate our equation to find the right answer:

2x - 4 = 30x

• Move all x terms to one side by adding 2x to both sides:
• -4 = 28x
• Divide both sides by 28:
• x = -4/28
• Simplify the fraction:
• x = -1/7

Since -1/7 is not among the choices, we need to double-check the equation and the choices provided.