Question

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

Answer 1

This answer is wrong

Answer 2

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 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!