To solve for \( x \) in the equation \( 96 = -3(4x - 4) \), you'll need to follow these steps:
1. **Distribute the -3** across the parentheses:
\( 96 = -3 \times 4x + 3 \times 4 \)
2. **Simplify** each term:
\( 96 = -12x + 12 \)
3. **Isolate the term with \( x \)**. Move the constant term to the other side of the equation:
\( 96 - 12 = -12x \)
4. **Simplify**:
\( 84 = -12x \)
5. **Divide both sides by -12** to solve for \( x \):
\( x = \frac{84}{-12} \)
6. **Simplify the fraction**:
\( x = -7 \)
So, the solution for \( x \) in the equation \( 96 = -3(4x - 4) \) is \( x = -7 \).
