3 2/9х-2 5/12=2 1/3х-1 3/4

$3 \frac{2}{9} x - 2 \frac{5}{12} =2 \frac{1}{3} x - 1 \frac{3}{4} \\ \\ 3 \frac{2}{9} x - 2 \frac{1}{3} x= 2 \frac{5}{12} - 1 \frac{3}{4} \\ \\ (\frac{29-21}{9}) *x = \frac{29-21}{12} \\ \\ \frac{8}{9} x= \frac{8}{12} \\ \\ x= \frac{8}{12} : \frac{8}{9} = \frac{8}{12} * \frac{9}{8} = \frac{1*3}{4*1} \\ \\ x= \frac{3}{4}$

Проверим:
$3 \frac{2}{9}* \frac{3}{4} - 2 \frac{5}{12} =2 \frac{1}{3} * \frac{3}{4} - 1 \frac{3}{4} \\ \\ \frac{29*3}{9*4} - 2 \frac{5}{12} = \frac{7*3}{3*4} - 1 \frac{3}{4} \\ \\ 2 \frac{5}{12} - 2 \frac{5}{12} = 1 \frac{3}{4} - 1 \frac{3}{4} \\ \\ 0=0$