2/3:2/3x-2/3-2/3=2/3

Решите задачу:

$\frac{2}{3} : \frac{2}{3}x- \frac{2}{3}- \frac{2}{3}= \frac{2}{3} \\ \\ \frac{2}{3} : \frac{2}{3}x= \frac{2}{3} + \frac{2}{3}+ \frac{2}{3}\\ \\ \frac{2}{3} : \frac{2}{3}x= \frac{2+2+2}{3}\\ \\ \frac{2}{3} : \frac{2}{3}x= \frac{6}{3}\\ \\ \frac{2}{3}x= \frac{2}{3}:\frac{6}{3}\\ \\ \frac{2}{3}x= \frac{2}{3}*\frac{3}{6} \\ \\ \frac{2}{3}x= \frac{2}{6} \\ \\ x= \frac{2}{6}:\frac{2}{3} \\ \\$

$x= \frac{2}{6}*\frac{3}{2} \\ \\ x= \frac{2:2}{6:3}*\frac{3:3}{2:2} \\ \\ x= \frac{1}{2}*\frac{1}{1} \\ \\ x= \frac{1}{2} \\ \\ x=0,5$