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

Answer 1

To solve the equation \(3(x - 4) = 18\), we can explore each of the methods suggested in your responses to see if any will yield the correct solution.

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

   • This method isn't appropriate for solving the equation, as multiplying by 13 does not relate to isolating \(x\).

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

   • Multiplying both sides by \(\frac{1}{3}\) gives us \(x - 4 = 6\). Subtracting 4 from both sides gives \(x = 10\). This is invalid as subtracting is not a valid follow-up.

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

   • Distributing the 3 gives \(3x - 12 = 18\). Adding 12 to both sides gives \(3x = 30\). Dividing both sides by 3, we find \(x = 10\). This method works.

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

   • Distributing gives \(3x - 12 = 18\). Adding 12 gives \(3x = 30\). Dividing by 3 yields \(x = 10\). This method works as well.

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

   • Dividing both sides by 3 gives \(x - 4 = 6\). Subtracting 4 on both sides gives \(x = 2\), which is incorrect.

Among the options, the following methods yield the correct answer \(x = 10\):

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

Thus, the correct choices are the 3rd and the 4th options.