2/3 ------------- -2/3=2/3 2/3х-2/3

Решите задачу:

$\frac{ \frac{2}{3} }{ \frac{2}{3}x- \frac{2}{3}} - \frac{2}{3}= \frac{2}{3} \\ \\ \frac{ \frac{2}{3} }{ \frac{2}{3}x- \frac{2}{3}} = \frac{2}{3}+ \frac{2}{3} \\ \\ \frac{ \frac{2}{3} }{ \frac{2}{3}x- \frac{2}{3}} = \frac{4}{3} \\ \\ \frac{2}{3}x- \frac{2}{3}= \frac{2}{3}:\frac{4}{3} \\ \\ \frac{2}{3}x- \frac{2}{3}= \frac{2}{3}*\frac{3}{4} \\ \\ \frac{2}{3}x- \frac{2}{3}= \frac{2}{4} \\ \\$

$\frac{2}{3}x= \frac{2}{4} + \frac{2}{3}\\ \\ \frac{2}{3}x= \frac{2*3}{4*3} + \frac{2*4}{3*4} \\ \\ \frac{2}{3}x= \frac{6}{12} + \frac{8}{12} \\ \\ \frac{2}{3}x= \frac{14}{12} \\ \\ x=\frac{14}{12}:\frac{2}{3} \\ \\ x=\frac{14}{12}*\frac{3}{2} \\ \\ x=\frac{14:2}{12:3}*\frac{3:3}{2:2} \\ \\ x=\frac{7}{4}*\frac{1}{1} \\ \\ x=1\frac{3}{4} \\ \\ x=1,75$