What is the second step in solving the equation −9(x − 5) = 45 when solving for x ?(1 point)

Responses

Divide both sides by 9.
Divide both sides by 9.

Add 5 to both sides.
Add 5 to both sides.

Subtract 5 from both sides.
Subtract 5 from both sides.

Divide both sides by −9.

3 answers

To solve the equation \( -9(x - 5) = 45 \), the first step is to divide both sides by \(-9\) to isolate the term \( (x - 5) \).

So the second step after that would be simplifying the equation. Therefore, the correct answer for the second step in the context of the options you provided is:

Divide both sides by −9.

wrong

I apologize for the confusion. Let’s go through the steps of solving the equation \( -9(x - 5) = 45 \) correctly.

  1. Initial equation: \( -9(x - 5) = 45 \)

  2. First step: Divide both sides by \(-9\) to isolate \(x - 5\):

    \[ x - 5 = \frac{45}{-9} \implies x - 5 = -5 \]

At this point, adding 5 to both sides is the next step:

  1. Second step: Add \(5\) to both sides:

    \[ x = -5 + 5 \implies x = 0 \]

From your original question, the second step in solving the equation is:

Add 5 to both sides.

I appreciate your patience, and I’m sorry for the oversight.