We can solve this equation by finding the values of x that satisfy the equation.

First, let's simplify the equation:

sin$x/2-\pi /8$*$tan(x)-1$ = 0
sin$x/2-\pi /8$ = 0 or tan$x$ - 1 = 0

Now, let's solve each part separately:

sin$x/2-\pi /8$ = 0
x/2 - π/8 = nπ, where n is an integer
x/2 = nπ + π/8
x = 2nπ + π/4

tan$x$ - 1 = 0
tan$x$ = 1
x = π/4

Therefore, the solutions to the equation are x = 2nπ + π/4 and x = π/4, where n is an integer.