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Question

The number of positive integers k for which the equation kx-12=3k has an integer solution for x is

Accepted Answer

kx -12 = 3k -12=3k-kx -12=k(3-x) -12k=3-x Positive factors of -12: 1,2,3,4,6,12 6 factors, each of which have an integer solution for x in -12k=3-x 6