$$9\frac{16}{51}+2x=4\frac{11}{34}$$
$$2x=4\frac{11}{34}-9\frac{16}{51}$$
$$2x=\frac{147}{34}-\frac{475}{51}$$
$$2x=\frac{441-950}{102}$$
$$2x=\frac{-509}{102}$$
$$x=\frac{-509}{102}:2$$
$$x=\frac{-509}{102} \cdot \frac{1}{2}$$
$$x=\frac{-509}{204}$$
$$x=-2\frac{101}{204}$$
Ответ: $$x=-2\frac{101}{204}$$