55-(x-15)=30

To solve the equation \( 55 - (x - 15) = 30 \), follow these steps:

1. Distribute the negative sign: \[ 55 - x + 15 = 30 \] This simplifies to: \[ 70 - x = 30 \]

2. Subtract 70 from both sides: \[ -x = 30 - 70 \] Simplifying the right side gives: \[ -x = -40 \]

3. Multiply both sides by -1 to solve for \( x \): \[ x = 40 \]

Thus, the solution is \( x = 40 \).