Решите уравнение: (4x+5)/(x+2)=(2x-7)/(3x-6).

\[10x^{2} - 6x - 16 = 0\ \ \ \ \ \ \ \ |\ :2\]

\[5x² - 3x - 8 = 0\]

\[D = 9 + 160 = 169\]

\[x_{1} = \frac{3 + 13}{10} = \frac{16}{10} = 1,6;\ \ \ \ \]

\[x_{2} = \frac{3 - 13}{10} = - 1.\]

\[Ответ:\ x = - 1;\ x = 1,6.\]