Given the equation 5 + x - 14 = x - 7.

Part A. Solve the equation 5 + x - 14 = x - 7. In your final answer, be sure to state the solution and include all of your work.

Part B. Use the values x = -2, 0, 3 to prove your solution to the equation 5 + x - 14 = x - 7 . In your final answer, include all of your calculations.