Solve the following equation. \[ |-2 x+3|+8=17 \] Answer: Note: If there is more than one answer, write them separated by commas (e.g., 1, 2).

Step 1 ：First, isolate the absolute value by subtracting 8 from both sides of the equation. This gives us \(|-2 x+3|=9\).

Step 2 ：Next, consider the two possible cases for the absolute value. The absolute value of a number is its distance from zero on the number line, so it can either be positive or negative. This gives us two equations to solve: \(-2 x+3=9\) and \(-2 x+3=-9\).

Step 3 ：Solve these two equations separately to find the possible values of x. For the first equation, subtract 3 from both sides and then divide by -2 to get \(x=-3\).

Step 4 ：For the second equation, subtract 3 from both sides and then divide by -2 to get \(x=6\).

Step 5 ：The solutions to the equation are \(\boxed{-3, 6}\).