Question

Correctly select the order of the steps to solve this equation. 13(6x−9)=−33 (1 point) 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: The option "Divide by 6 on both sides of the equation." (8 of 9) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

To solve the equation \( 13(6x - 9) = -33 \), you would follow these steps:

Step 1: Distribute the \( 13 \) on the left side of the equation.

\[ 13 \cdot 6x - 13 \cdot 9 = -33 \]

This simplifies to:

\[ 78x - 117 = -33 \]

Step 2: Add \( 117 \) to both sides of the equation to isolate the term with \( x \).

\[ 78x - 117 + 117 = -33 + 117 \]

This simplifies to:

\[ 78x = 84 \]

Step 3: Divide both sides by \( 78 \) to solve for \( x \).

\[ x = \frac{84}{78} \]

This can be simplified to:

\[ x = \frac{14}{13} \]

So the correct order of the steps would be:

• Step 1: Distribute \( 13 \)
• Step 2: Add \( 117 \) to both sides
• Step 3: Divide by \( 78 \) on both sides of the equation

You may want to correct the selected option "Divide by 6 on both sides of the equation," as it does not fit the correct order in solving the equation.