To solve the equation \( 4(3x - 2) = -24 \), we can follow these steps in order:
-
Distribute the 4:
\( 4 \cdot 3x - 4 \cdot 2 = -24 \)
Which simplifies to:
\( 12x - 8 = -24 \) -
Add 8 to both sides:
\( 12x - 8 + 8 = -24 + 8 \)
Which simplifies to:
\( 12x = -16 \) -
Divide by 12:
\( x = \frac{-16}{12} \)
Which simplifies to:
\( x = -\frac{4}{3} \)
So the correctly ordered steps are:
- Distribute the 4.
- Add 8 to both sides.
- Divide by 12.