The solution of 8x + 1 = 5 + 3x (mod 12) is x = a (mod m) for some positive integers $m \geq 2$ and a < m. Find a + m.
8x + 1 = 5 + 3x (mod 12)
5x = 4 (mod 12)
5(5x) = 4(5) mod (12)
x = 8 mod (12)
=^._.^=