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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

1 answer

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 \(x = -15\).