Question

Найдите корень уравнения ​

Answer 1

Ответ:

$\frac{2}{3} - 3x = \frac{1}{2} x - (2 - x) \\ \frac{2}{3} - 3x = \frac{1}{2} x - 2 + x \\ - 3x - \frac{1}{2} x - x = - 2 - \frac{2}{3} \\ - \frac{9}{2} x = - \frac{8}{3} \\ x = \frac{8}{3} \div \frac{9}{2} = \frac{8}{3 \times \frac{2}{9} } \\ x = \frac{16}{27}$