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

Question

13(6x−9)=−33


(3 points)

Answer 1

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

1. Distribute the 13: Multiply both terms inside the parentheses by 13. \[ 13 \cdot 6x - 13 \cdot 9 = -33 \implies 78x - 117 = -33 \]

2. Add 117 to both sides: To isolate the term with \( x \), add 117 to both sides of the equation. \[ 78x - 117 + 117 = -33 + 117 \implies 78x = 84 \]

3. Divide both sides by 78: To solve for \( x \), divide both sides by 78. \[ x = \frac{84}{78} = \frac{14}{13} \]

In summary, the correct order of steps is: Distribute, Add, Divide.