Решите уравнение: (2x+6)(7-4x)=(2-x)(8x+1)+15.

\[(2x + 6)(7 - 4x) =\]

\[= (2 - x)(8x + 1) + 15\]

\[14x - 8x^{2} + 42 - 24x =\]

\[= 16x + 2 - 8x^{2} - x + 15\]

\[14x - 24x - 16x + x =\]

\[= - 42 + 2 + 15\]

\[- 25x = - 25\]

\[x = 1\]

\[Ответ:x = 1.\]