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

Ответ:

\[\frac{2x}{3} - \frac{2x + 1}{6} = \frac{3x - 5}{4}\ \ \ \ \ \ \ | \cdot 12\]

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

\[8x - 4x - 2 = 9x - 15\]

\[4x - 9x = - 15 + 2\]

\[- 5x = - 13\]

\[x = \frac{13}{5} = 2\frac{3}{5}\]

\[x = 2,6.\]