The sum of all solutions for \(x\) in the equation \(x^2 - 8x + 21 = |x - 4|+ 5\) is equal to:

[Gmat_mission]

The sum of all solutions for \(x\) in the equation \(x^2 - 8x + 21 = |x - 4|+ 5\) is equal to:

(A) -7
(B) 7
(C) 10
(D) 12
(E) 14

Answer: D

Source: Manhattan GMAT