To solve for x, we need to isolate x in the equation:

Tg(x-Пи/5) = -1

First, let's take the inverse tangent of both sides to remove the tangent function:

x - Пи/5 = arctan(-1)

arctan(-1) is π/4, so we have:

x - Пи/5 = π/4

Now, add Пи/5 to both sides to solve for x:

x = π/4 + Пи/5

x = (5π + 4Пи) / 20

Therefore, the solution for x is:

x = (5π + 4Пи) / 20