Question

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.

Answer 1

wrong

Answer 2

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.**

Answer 3

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:

3. **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.