12-4(2x-1/2)+8x-2

To simplify the expression \( 12 - 4(2x - \frac{1}{2}) + 8x - 2 \), follow these steps:

1. Distribute the \( -4 \) across the terms inside the parentheses: \[ -4(2x) + (-4)(-\frac{1}{2}) = -8x + 2 \]

2. Substitute this back into the expression: \[ 12 - 8x + 2 + 8x - 2 \]

3. Now combine like terms:

   • Combine the constant terms: \( 12 + 2 - 2 = 12 \)
   • Combine the \( x \) terms: \( -8x + 8x = 0 \)

4. So the expression simplifies to: \[ 12 \]

Thus, the simplified expression is \( 12 \).