45-(x-16)=28

To solve the equation \( 45 - (x - 16) = 28 \), follow these steps:

1. Distribute the negative sign: \[ 45 - x + 16 = 28 \]

2. Combine the constants on the left side: \[ 61 - x = 28 \]

3. Isolate \( x \) by first subtracting 61 from both sides: \[ -x = 28 - 61 \] \[ -x = -33 \]

4. Multiply both sides by -1 to solve for \( x \): \[ x = 33 \]

Thus, the solution is: \[ \boxed{33} \]