Решите уравнение (2 2/9 - 5/6x) * 9 + 1/2x = 6

[latex](2 \frac{2}{9} - \frac{5}{6x} )*9+ \frac{1}{2x} =6 \\ ( \frac{20}{9} - \frac{5}{6x} )*9+ \frac{1}{2x} =6 \\ 20 - \frac{15}{2x} + \frac{1}{2x}=6 \\ \frac{40x}{2x} - \frac{15}{2x} + \frac{1}{2x}= \frac{12x}{2x} \\ 40x - 15 + 1 = 12x \\ 40x - 12x = 15 - 1 \\ 28x = 14 \\ x = \frac{14}{28} \\ x = \frac{1}{2}[/latex]