One method for solving 3(x−4)=18 is to first divide by 3, then add 4. Which method below would also result in the correct answer?(1 point)

Question

Responses

First, distribute the 3, then add 12, and lastly divide by 3.
First, distribute the 3, then add 12, and lastly divide by 3.

First, multiply by 13, then subtract 4.
First, multiply by Start Fraction 1 over 3 End Fraction , then subtract 4.

First, distribute the 3, then add 4, and lastly divide by 3.
First, distribute the 3, then add 4, and lastly divide by 3.

First, divide by 3, then subtract 4.
First, divide by 3, then subtract 4.

Answer 1

To solve the equation \( 3(x − 4) = 18 \), we can follow a few different methods. Let's evaluate the provided options to determine which ones are valid:

1. First, distribute the 3, then add 12, and lastly divide by 3.

   • Distributing gives \( 3x - 12 = 18 \). Then adding 12 results in \( 3x = 30 \). Dividing by 3 gives \( x = 10 \). This method is correct.

2. First, multiply by 13, then subtract 4.

   • This method does not relate correctly to the equation and would not yield a solution. This method is incorrect.

3. First, multiply by \( \frac{1}{3} \), then subtract 4.

   • This would give us \( (x - 4) = 6 \) after multiplication, and the subtraction does not yield the correct answer. This method is incorrect.

4. First, distribute the 3, then add 4, and lastly divide by 3.

   • After distributing, we have \( 3x - 12 = 18 \). Adding 4 gives \( 3x - 8 = 18 \), and this does not lead to the correct answer. This method is incorrect.

5. First, divide by 3, then subtract 4.

   • Dividing gives \( x - 4 = 6 \). Subtracting 4 leads to \( x = 10 \). This method is correct.

The methods that result in the correct answer are:

• First, distribute the 3, then add 12, and lastly divide by 3.
• First, divide by 3, then subtract 4.

Thus, the first option is valid, and the last option is also valid.

Answer 2

which one

Answer 3

From the provided options, the following methods are valid and will result in the correct answer \( x = 10 \):

1. First, distribute the 3, then add 12, and lastly divide by 3.
2. First, divide by 3, then subtract 4.

If you are asked to choose just one option, the first option from the two valid methods is:

First, distribute the 3, then add 12, and lastly divide by 3.