Question

Correctly select the order of the steps to solve this equation
1/3 (6x - 9)= -33
Step 1
Step 2
Step 3
Solve for x

Answer 1

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

**Step 1:** Eliminate the fraction by multiplying both sides of the equation by 3.
\[
3 \cdot \frac{1}{3} (6x - 9) = 3 \cdot (-33)
\]
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 order of the steps is:
1. Multiply both sides by 3.
2. Add 9 to both sides.
3. Divide both sides by 6.

Finally, you find \(x = -15\).