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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, 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.
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.

First, multiply by 13
, then subtract 4.

3 answers

To solve the equation \(3(x - 4) = 18\), you can indeed divide by 3 first and then add 4, leading to a solution.

Let’s evaluate the responses:

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

    • Distributing gives: \(3x - 12 = 18\).
    • Then, adding 12: \(3x = 30\).
    • Lastly, divide by 3: \(x = 10\) (correct method).

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

    • After distributing: \(3x - 12 = 18\).
    • Adding 4 gives \(3x - 8 = 18\), which is incorrect as it does not simplify to solve for x accurately.

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

    • Dividing by 3: \((x - 4) = 6\).
    • Subtracting 4 gives: \(x = 10\) (correct method).

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

    • This step does not logically follow the equation's operations and would not yield a correct answer.

Thus, the methods that would also 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.

So the first and third options are correct.

pick ONE :)

Sure! The one method that would also result in the correct answer is:

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