Correctly select the order of the steps to solve this equation. 13(6x−9)=−33

Answer 1

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

1. Distribute the 13 on the left side: \[ 13 \cdot 6x - 13 \cdot 9 = -33 \] which simplifies to: \[ 78x - 117 = -33 \]

2. Add 117 to both sides to isolate the term with \( x \): \[ 78x - 117 + 117 = -33 + 117 \] which simplifies to: \[ 78x = 84 \]

3. Divide both sides by 78 to solve for \( x \): \[ x = \frac{84}{78} \] which simplifies to: \[ x = \frac{14}{13} \]

So the correct order of steps to solve the equation \( 13(6x - 9) = -33 \) is:

1. Distribute the 13.
2. Add 117 to both sides.
3. Divide both sides by 78.

Thus, the final solution is \( x = \frac{14}{13} \).

Answer 2

This answer is wrong

Answer 3

I apologize for any confusion in my previous response. Let's go through the steps to solve the equation \( 13(6x - 9) = -33 \) correctly.

1. Distribute the 13: \[ 13(6x) - 13(9) = -33 \] which simplifies to: \[ 78x - 117 = -33 \]

2. Add 117 to both sides: \[ 78x - 117 + 117 = -33 + 117 \] This simplifies to: \[ 78x = 84 \]

3. Divide both sides by 78: \[ x = \frac{84}{78} \] This simplifies to: \[ x = \frac{14}{13} \]

These steps outline how to correctly solve the equation. If you were looking for a specific solution or step, please clarify, and I’ll be happy to assist further!