Angle LMN/2 = Angle LMO
Then
(5x - 23)/2= x + 32
now solve this
multiply by 2
(5x - 23) = 2• ( x + 32)
5x - 23 = 2x + 64
separate variables and numerical values
5x - 2x = 64 + 23
3x = 87
x = 87/3 = 29