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) Responses First, multiply by 13 , then subtract 4. First, multiply by Start Fraction 1 over 3 End Fraction , then subtract 4. First, divide by 3, then subtract 4. First, divide by 3, then subtract 4. 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, distribute the 3, then add 4, and lastly divide by 3.

To solve the equation \( 3(x - 4) = 18 \), we can use the original method of dividing by 3 and then adding 4:

1. Divide both sides by 3: \[ x - 4 = \frac{18}{3} \] \[ x - 4 = 6 \]

2. Add 4 to both sides: \[ x = 6 + 4 \] \[ x = 10 \]

Let's analyze the other options to see which one would also result in the correct answer.

1. First, multiply by 13, then subtract 4.
   This method does not maintain the equality correctly and does not solve for \( x \). (Not correct)

2. First, multiply by \(\frac{1}{3}\), then subtract 4.
   Similar to the first one, this does not maintain the equality correctly in the second step. (Not correct)

3. First, divide by 3, then subtract 4.
   If you divide by 3, you get \( x - 4 = 6 \), and then subtracting 4 gives: \[ x - 4 - 4 = 6 - 4 \Rightarrow x - 8 = 2 \] This does not give the correct solution. (Not correct)

4. First, distribute the 3, then add 12, and lastly divide by 3.
   Distributing gives \( 3x - 12 = 18 \). Adding 12 gives \( 3x = 30 \). Finally, dividing by 3 gives \( x = 10 \). (Correct)

5. First, distribute the 3, then add 4, and lastly divide by 3.
   Distributing gives \( 3x - 12 = 18 \). Adding 4 gives: \[ 3x - 8 = 18 \] This does not lead to the right answer. (Not correct)

Thus, the correct alternative method that results in the correct answer is:

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