Решите уравнение (3x-7)/6=2x/3-(x+4)/2.

Ответ:

\[\frac{3x - 7}{6} = \frac{2x}{3} - \frac{x + 4}{2}\ \ \ \ \ \ \ \ | \cdot 6\]

\[3x - 7 = 2 \cdot 2x - 3 \cdot (x + 4)\]

\[3x - 7 = 4x - 3x - 12\]

\[3x - x = - 12 + 7\]

\[2x = - 5\]

\[x = - 5\ :2\]

\[x = - 2,5\]

\[Ответ:x = - 2,5.\]