Now, Correctly select the order of the steps to solve this equation.

Question

1/3(6x−9)=−33


(3 points)

Answer 1

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \), follow these steps in the correct order:

1. Eliminate the fraction: Multiply both sides of the equation by 3 to eliminate the fraction.

   \[ 3 \times \frac{1}{3}(6x - 9) = 3 \times -33 \]

   This simplifies to:

   \[ 6x - 9 = -99 \]

2. Isolate the term with x: Add 9 to both sides to isolate the term with \( x \).

   \[ 6x - 9 + 9 = -99 + 9 \]

   This simplifies to:

   \[ 6x = -90 \]

3. Solve for x: Divide both sides by 6 to find the value of \( x \).

   \[ x = \frac{-90}{6} \]

   This simplifies to:

   \[ x = -15 \]

So the order of the steps is:

1. Multiply both sides by 3.
2. Add 9 to both sides.
3. Divide by 6.