To solve the equation \( 8 + 4(x - 2) = -10 - x \), follow these steps:
Distribute \( 4 \) on the left side of the equation: \[ 8 + 4x - 8 = -10 - x \] This simplifies to: \[ 4x = -10 - x \]
Add \( x \) to both sides to get all \( x \) terms on one side: \[ 4x + x = -10 \] Simplifying gives: \[ 5x = -10 \]
Divide both sides by \( 5 \): \[ x = -2 \]
The solution is: \[ \boxed{-2} \]