Решите уравнение: |3x-1|=|2x-6|.

\[|3x - 1| = |2x - 6|\]

\[3x - 1 = 2x - 6\]

\[3x - 2x = - 6 + 1\]

\[x = - 5.\]

\[3x - 1 = - (2x - 6)\]

\[3x - 1 = - 2x + 6\]

\[3x + 2x = 6 + 1\]

\[5x = 7\]

\[x = \frac{7}{5} = 1\frac{2}{5} = 1,4.\]

\[Ответ:\ - 5;\ \ 1,4.\]