Tìm \(x\), biết: \(\frac{{x + 2}}{3} - \frac{3}{4} = \frac{5}{3} + \frac{1}{{15}}\).

Hướng dẫn giải

Đáp án: \(x = \frac{{109}}{{20}}\)

Ta có: \(\frac{{x + 2}}{3} - \frac{3}{4} = \frac{5}{3} + \frac{1}{{15}}\)

\(\frac{x}{3} + \frac{2}{3} - \frac{3}{4} = \frac{{26}}{{15}}\)

\(\frac{x}{3} = \frac{{26}}{{15}} + \frac{3}{4} - \frac{2}{3}\)

\(\frac{x}{3} = \frac{{109}}{{60}}\)

\(x = \frac{{109}}{{60}}.3\)

\(x = \frac{{109}}{{20}}\).

Vậy \(x = \frac{{109}}{{20}}\).