Need some assistance on Trigonometric equation

I haven't done it in a long time. The question is to find the value of x between 0 degree and 360 degree for tan(2x-30 degree)= -1 .Please show me the steps to solve it please?

2x-30 = 180k - 45 where k is any integer
2x = 180k -15
x = 90k-15/2 degrees
x = 82.5, 172.5, 262.5 and 352.5 degrees

tan(2x-30 degree)= -1
=> 2x - 30 deg = 135, 315, 495 or 675 deg
=> x = 82.5 or 172.5 or 262.5 or 352.5 deg.

tan(2x-30)° = -1

or, tan(2x-30)° = tan(135)°

or, 2x-30 = 135

or, 2x = 165

or, x = 82.5