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:

3 answers

To solve the equation \( \frac{1}{3}(6x−9)=−33 \), the steps would generally follow this order:

Step 1: Multiply both sides by 3 to eliminate the fraction.
Step 2: Simplify the equation.
Step 3: Solve for \( x \) by isolating it.

So the completed steps would be:

  • Step 1: Multiply both sides by 3.
  • Step 2: Simplify the equation.
  • Step 3: Solve for \( x \).
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

To solve the equation \( \frac{1}{3}(6x−9)=−33 \), let's follow the steps:

  1. Start with the equation:
    \[ \frac{1}{3}(6x - 9) = -33 \]

  2. Multiply both sides by 3 to eliminate the fraction:
    \[ 6x - 9 = -99 \]

  3. Next, add 9 to both sides:
    \[ 6x = -99 + 9 \]
    \[ 6x = -90 \]

  4. Finally, divide both sides by 6 to solve for \( x \):
    \[ x = \frac{-90}{6} \]
    \[ x = -15 \]

So the correct answer is:
x = -15.