If the equation KX + 14 = 3 (x-1) (1) With integer solution, find the value of integer k (2) without solution, find the value of K

(1) kx+14=3(x-1)
kx+14=3x-3
(k-3)x=-17
If x is an integer, then K-3 is also a positive number
So K-3 = ± 1, or ± 17
So k = 2, or K = 4, or K = 20, or K = - 14
(2) (K-3) x = - 17 no solution
So K-3 = 0, so k = 3

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