To solve the equation tan(x - 5π/6) = 0, we need to find the values of x that make the tangent of (x - 5π/6) equal to zero.

The tangent function is equal to zero when the angle is a multiple of π. Therefore, we can set x - 5π/6 equal to nπ, where n is an integer.

x - 5π/6 = nπ

To solve for x, we can add 5π/6 to both sides of the equation:

x = nπ + 5π/6

So, the general solution for x is x = nπ + 5π/6, where n is an integer.