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

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

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

x - 1\(\frac{8}{23}\) = 1\(\frac{16}{23}\)

x = 1\(\frac{16}{23}\) + 1\(\frac{8}{23}\)

x = 2\(\frac{24}{23}\) = 3\(\frac{1}{23}\)