How to solve: sin(π×x-π/3)=-0.5

Answer:
x = 3/2, 13/6.
Step-by-step explanation:
In the range 0 to 2π the angles whose sine is -1/2 are 7π/6 and 11π/6 radians
So πx - π/3 = 7π/6
x - 1/3 = 7/6
x = 7/6 + 1/3 = 9/6 = 3/2.
and
πx - π/3 = 11π/6
x = 11/6 + 1/3 = 13/6.