Решите уравнение: (3x-5)(2x+7)=(3x+1)(2x-3)+4x.

\[6x^{2} - 10x + 21x - 35 =\]

\[= 6x^{2} + 2x - 9x - 3 + 4x\]

\[11x + 3x = - 3 + 35\]

\[14x = 32\]

\[x = \frac{32}{14} = \frac{16}{7} = 2\frac{2}{7}.\]

\[Ответ:x = 2\frac{2}{7}.\]