Question

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

13(6x−9)=−33

(3 points)

Step 1:
Step 2:
Step 3:

Answer 1

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

**Step 1:** Distribute \( 13 \) on the left-hand side.
This gives us:
\[ 13 \cdot 6x - 13 \cdot 9 = -33 \]
Which simplifies to:
\[ 78x - 117 = -33 \]

**Step 2:** Add \( 117 \) to both sides to isolate the term with \( x \).
\[ 78x - 117 + 117 = -33 + 117 \]
This gives us:
\[ 78x = 84 \]

**Step 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 the steps is:
- **Step 1:** Distribute \( 13 \).
- **Step 2:** Add \( 117 \) to both sides.
- **Step 3:** Divide both sides by \( 78 \).