Consider this equation: 4(3x−2)=−24 Correctly order the steps used to solve this equation. (1 point)

1 answer

To solve the equation \( 4(3x - 2) = -24 \), we can follow these steps in order:

  1. Distribute the 4:
    \( 4 \cdot 3x - 4 \cdot 2 = -24 \)
    Which simplifies to:
    \( 12x - 8 = -24 \)

  2. Add 8 to both sides:
    \( 12x - 8 + 8 = -24 + 8 \)
    Which simplifies to:
    \( 12x = -16 \)

  3. Divide by 12:
    \( x = \frac{-16}{12} \)
    Which simplifies to:
    \( x = -\frac{4}{3} \)

So the correctly ordered steps are:

  1. Distribute the 4.
  2. Add 8 to both sides.
  3. Divide by 12.