Question

Consider the example: Now, Correctly select the order of the steps to solve this equation. 1/3(6x−9)=−33 (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1: Step 2: Step 3:

Answer 1

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

Step 1: Eliminate the fraction by multiplying both sides of the equation by 3.
\[ 3 \times \frac{1}{3}(6x - 9) = 3 \times -33 \] This simplifies to: \[ 6x - 9 = -99 \]

Step 2: Add 9 to both sides to isolate the term with \( x \).
\[ 6x - 9 + 9 = -99 + 9 \] This simplifies to: \[ 6x = -90 \]

Step 3: Divide both sides by 6 to solve for \( x \).
\[ \frac{6x}{6} = \frac{-90}{6} \] This simplifies to: \[ x = -15 \]

So the correct order of the steps is:

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

Please insert the steps in that order into the input fields.