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.

Hey katheryn part a solve 5 + x - 14 = x - 7 x + 9 = x - 7 subtract x on both sides x + 9 - x = x - 7 - x -9 = -7 add 9 on both sides-9 + 9 = -7 + 9 0 = 2 thus, there are no solutionspart b, we need to use these values x = -2, x = 0 and x = 3. so we gonna go to the equation and replace x by -2, then x by 0 and so 5 + x - 14 = x - 7 for x = -2 5 + (-2) - 14 = -2 - 7 5 - 2 - 14 = -9 -11 = -9 aren't equal! 5 + x - 14 = x - 7 for x = 05 + 0 - 14 = 0 - 7 -9 = -7 not equal! 5 + x - 14 = x - 7 for x = 35 + 3 - 14 = 3 - 7 -6 = -4 not equal! this is why the equation has no solution. let me know if you have any questions. as always, it is my pleasure to students like you!