Solve. \[ |x-2|+8=11 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed) B. There is no solution.

Step 1 ：Rewrite the absolute value equation as two separate equations, one for when the value inside the absolute value is positive and one for when it is negative.

Step 2 ：For the positive case, the equation becomes \(x - 2 + 8 = 11\), which simplifies to \(x + 6 = 11\).

Step 3 ：Solving for \(x\) in the positive case gives the solution \(x = 5\).

Step 4 ：For the negative case, the equation becomes \(-(x - 2) + 8 = 11\), which simplifies to \(10 - x = 11\).

Step 5 ：Solving for \(x\) in the negative case gives the solution \(x = -1\).

Step 6 ：The final solutions to the equation are \(\boxed{5}\) and \(\boxed{-1}\).