Answer:
[tex]\large\boxed{x=\dfrac{1}{2}=0.5}[/tex]
Step-by-step explanation:
[tex]\dfrac{5}{6x}=\dfrac{10}{3}\qquad\text{cross multiply}\\\\(6x)(10)=(5)(6)\\\\60x=30\qquad\text{divide both sides by 60}\\\\x=\dfrac{30}{60}\\\\x=\dfrac{1}{2}[/tex]