On an inclined plane is Gravitation Force of x component (Fgx) always equal to static friction (fs)?

Answer 1

not if the thing moves !!!!

Angle to horizontal = A
weight = m g
component of weight down slope m g sin A
normal force = m g cos A
friction force up slope = mu m g cos A = static friction force up slope (fs)
your Fgx = m g sin A
Fgx - fs = m a where a is acceleration down the slope. (use moving, not static friction once it starts)