In ΔLMN,
LN is extended through point N to point O, \text{m}\angle MNO = (5x+2)^{\circ}m∠MNO=(5x+2) NLM = (x+10)^{\circ}m∠NLM=(x+10) and \text{m}\angle LMN = (x+16)^{\circ}m∠LMN=(x+16)

. What is the value of x?