Решите уравнение (4x+5)/13=8/9.

\[\frac{4x + 5}{13} = \frac{8}{9}\]

\[4x + 5 = \frac{8 \cdot 13}{9}\]

\[4x = \frac{104}{9} - 5\]

\[4x = 11\frac{5}{9} - 5\]

\[4x = 6\frac{5}{9}\]

\[4x = \frac{59}{9}\]

\[x = \frac{59}{9 \cdot 4} = \frac{59}{36}\]

\[x = 1\frac{23}{36}\text{.\ }\]