Решите уравнение: (x-2)/5+(2x-5)/4+(4x-1)/20=4-x.

Ответ:

\[\frac{x - 2}{5} + \frac{2x - 5}{4} + \frac{4x - 1}{20} = 4 - x\ \ \ | \cdot 20\]

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

\[= 20 \cdot (4 - x)\]

\[4x - 8 + 10x - 25 + 4x - 1 =\]

\[= 80 - 20x\]

\[18x + 20x = 80 + 34\]

\[38x = 114\]

\[x = 3.\]