x = 12
Explanations:Note that:
All the sides of a rhombus are equal
NR = 5x + 16
RQ = 9x - 32
Since all the sides of a rhombus are equal:
NR = RQ
5x + 16 = 9x - 32
Collect like terms
9x - 5x = 16 + 32
4x = 48
Divide both sides by 4
4x / 4 = 48/4
x = 12
