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

Question

13(6x−9)=−33

(1 point)
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Step 1:
Step 2:
Step 3:

Answer 1

To solve the equation \( 13(6x - 9) = -33 \), the correct order of steps would typically be as follows:

Step 1: Distribute the 13 on the left side of the equation.
\[ 13 \times 6x - 13 \times 9 = -33 \]
This becomes:
\[ 78x - 117 = -33 \]

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 final order of the steps is:

• Step 1: Distribute
• Step 2: Add 117
• Step 3: Divide by 78