the answer:
solve for x does mean, finding the value of x
as we see in the figure, the first step to find such a value is equalizing 3x-8 to
2x+23, that is possible because the right angle was bisected by a line, so the value of each angle must be equal.
to find x, 3x-8 = 2x+23 , equivalent to 3x - 2x =23 +8 = 31
x =31°
finally
the steps are true, 1, 2 and 3