Вопрос:

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

Ответ:

\[5 - \left( 1,5x + \frac{1}{3} \right) \cdot 6 = 2\frac{1}{3}x - 5\frac{1}{2}\]

\[5 - 9x - 2 = 2\frac{1}{3}x - 5\frac{1}{2}\]

\[- 9x - 2\frac{1}{3}x = - 5\frac{1}{2} - 3\]

\[- 11\frac{1}{3}x = - 8\frac{1}{2}\]

\[- \frac{34}{3}x = - \frac{17}{2}\]

\[x = - \frac{17}{2}\ :\left( - \frac{34}{3} \right) = \frac{17}{2} \cdot \frac{3}{34}\]

\[x = \frac{3}{4}.\]