$$7 \frac{11}{15} -(x- \frac{49}{15}) =2 \frac{8}{15}$$
$$\frac{116}{15} -(x- \frac{49}{15}) =\frac{38}{15}$$
$$\frac{116}{15} -x+ \frac{49}{15} =\frac{38}{15}$$
$$\frac{116+49}{15} -x=\frac{38}{15}$$
$$\frac{165}{15} -x=\frac{38}{15}$$
$$11 -x=\frac{38}{15}$$
$$-x=\frac{38}{15}-11$$
$$-x=\frac{38-165}{15}$$
$$-x=-\frac{127}{15}$$
$$x=\frac{127}{15}$$

$$\frac{116}{15}-( x- \frac{49}{15})= \frac{38}{15};- x= -\frac{78}{15} - \frac{49}{15} ; -x=- \frac{127}{15} ; x= \frac{127}{15}$$