Answer:
[tex]x = 15.[/tex]
Step-by-step explanation:
[tex]4x/5-x=X/10-9/2 = > \\ \frac{4x}{5 - x} = \frac{x}{10} - \frac{9}{2} \\ (20)4x = 2x(5x - x) - 10(5x - x) \\ 80x = 10 {x}^{2} - {2x}^{2} - 50x + 10x \\ 8 {x}^{2} - 120x = 0 \\ {x}^{2} = 15x \\ x = 15.[/tex]