To solve the equation \( 12 - 8(4 - x) = 4 \), follow these steps:
Distribute the \(-8\) across the terms inside the parentheses: \[ 12 - 8 \cdot 4 + 8 \cdot x = 4 \]
This simplifies to: \[ 12 - 32 + 8x = 4 \]
Combine like terms on the left side: \[ -20 + 8x = 4 \]
Add 20 to both sides of the equation: \[ 8x = 24 \]
Divide both sides by 8: \[ x = 3 \]
Thus, the solution is \( x = 3 \).