$$(x-1\frac{8}{23})+3\frac{19}{23}=5\frac{12}{23};$$

Решим уравнение:

$$x - 1\frac{8}{23} + 3\frac{19}{23} = 5\frac{12}{23}$$

$$x + 3\frac{19}{23} - 1\frac{8}{23} = 5\frac{12}{23}$$

$$x + 2\frac{11}{23} = 5\frac{12}{23}$$

$$x = 5\frac{12}{23} - 2\frac{11}{23}$$

$$x = 3\frac{1}{23}$$