2sin(5x-2) = 3/6

sin(5x-2) = 3/12

sin(5x-2) = 1/4

5x-2 = arcsin(1/4)

5x-2 = 0.25π + 2πn, n ∈ Z

5x = 0.25π + 2 - 2πn

x = (0.25π + 2 - 2πn) / 5