Question

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

1/3(6x−9)=−33

(1 point)
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Step 1:
Step 2:
Step 3:
Question 2
Solve for x.

1/3(6x−9)=−33


(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19
x = -19
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Answer 1

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \), follow these steps:

**Step 1:** Eliminate the fraction by multiplying both sides by 3.
\[
3 \times \frac{1}{3}(6x - 9) = 3 \times -33
\]
This simplifies to:
\[
6x - 9 = -99
\]

**Step 2:** Add 9 to both sides to isolate the term with \( x \).
\[
6x - 9 + 9 = -99 + 9
\]
This simplifies to:
\[
6x = -90
\]

**Step 3:** Divide both sides by 6 to solve for \( x \).
\[
x = \frac{-90}{6}
\]
This simplifies to:
\[
x = -15
\]

So, the corrected order of the steps is:

- Step 1: Eliminate the fraction by multiplying both sides by 3.
- Step 2: Add 9 to both sides.
- Step 3: Divide both sides by 6.

For the second part of the question, the solution for \( x \) is:
\[
\boxed{x = -15}
\]