To solve the equation \( 10 - (x - 0.5) = 2 \), follow these steps:
Simplify the left side of the equation: \[ 10 - x + 0.5 = 2 \] This can be rewritten as: \[ 10.5 - x = 2 \]
To isolate \( x \), subtract 10.5 from both sides: \[ -x = 2 - 10.5 \] \[ -x = -8.5 \]
Multiply both sides by -1 to solve for \( x \): \[ x = 8.5 \]
So, the solution to the equation is: \[ \boxed{8.5} \]