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Consider this equation:

4(3x−2)=−24

Correctly order the steps used to solve this equation.

(1 point)
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Step 1:
Step 2:
Step 3:

1 answer

To solve the equation \(4(3x - 2) = -24\), here are the steps in the correct order:

Step 1: Distribute the 4 on the left side: \[ 4 \cdot 3x - 4 \cdot 2 = -24 \] This simplifies to: \[ 12x - 8 = -24 \]

Step 2: Add 8 to both sides to isolate the term with \(x\): \[ 12x - 8 + 8 = -24 + 8 \] This simplifies to: \[ 12x = -16 \]

Step 3: Divide both sides by 12 to solve for \(x\): \[ x = \frac{-16}{12} = \frac{-4}{3} \]

So the steps can be summarized as follows:

  • Step 1: Distribute the 4: \(12x - 8 = -24\)
  • Step 2: Add 8 to both sides: \(12x = -16\)
  • Step 3: Divide both sides by 12: \(x = \frac{-4}{3}\)