Solve for \( x \). \[ 2(3 x-6)=12 \] Simplify your answer as much as possible. \[ x= \]

To solve for \( x \) in the equation: \[ 2(3x - 6) = 12 \] follow these steps: 1. **Distribute the 2** across the terms inside the parentheses: \[ 2 \times 3x - 2 \times 6 = 12 \\ 6x - 12 = 12 \] 2. **Add 12** to both sides to isolate the term with \( x \): \[ 6x - 12 + 12 = 12 + 12 \\ 6x = 24 \] 3. **Divide** both sides by 6 to solve for \( x \): \[ x = \frac{24}{6} \\ x = 4 \] So, the simplified solution is: \[ x = 4 \]