Question

Решите уравнение
$(4 \div x - 2) + (1 \div x + 4) = 3 \div x - 4$

Answer 1

$( \frac{4}{x} - \frac{2}{1}) + ( \frac{1}{x} + \frac{4}{1} ) = \frac{3}{x} - \frac{4}{1} \\ \frac{4 - 2x}{x} + \frac{4x + 1}{x} = \frac{3 - 4x}{x} \\ 6x = 2 \\ x = \frac{1}{3}$