Решите уравнение: 3(1-2x)-5(3-x)-6(3x-4)=83.

\[3 \cdot (1 - 2x) - 5 \cdot (3 - x) - 6 \cdot (3x - 4) = 83\]

\[3 - 6x - 15 + 5x - 18x + 24 = 83\]

\[- 19x = 83 - 12\]

\[- 19x = 71\]

\[x = - \frac{71}{19}\]

\[x = - 3\frac{14}{19}.\]

\[Ответ:x = - 3\frac{14}{19}.\]