Answer:
x = 4
Step-by-step explanation:
[tex]\overline{AM}\cong\overline{MB}\ \text{therefore}\ |\overline{AM}|=|\overline{MB}|\\\\|\overline{AM}|=5x+2,\ |\overline{MB}|=10x-18\\\\\text{Substitute:}\\\\5x+2=10x-18\qquad\text{subtract 2 from both sides}\\\\5x+2-2=10x-18-2\\\\5x=10x-20\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\5x-10x=10x-10x-20\\\\-5x=-20\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5x}{-5}=\dfrac{-20}{-5}\\\\x=4[/tex]
