1. Решить х-4/x=2x+10/x+4

$\frac{x-4}{x}= \frac{2x+10}{x} +4$

$\frac{x-4}{x}- \frac{2x+10}{x} -4=0$

$\frac{x-4-(2x+10)}{x}-\frac{4*x}{x} =0$

$\frac{x-4-2x-10}{x}-\frac{4x}{x} =0$

$\frac{-x-14}{x}-\frac{4x}{x} =0$

$- \frac{x+14}{x}-\frac{4x}{x} =0$

$\frac{x+14}{x}+\frac{4x}{x} =0$

$\frac{4x+x+14}{x}=0$

$\frac{5x+14}{x}=0$

$\left \{ {{5x+14=0} \atop {x \neq 0}} \right. ; \left \{ {{5x=-14} \atop {x \neq 0}} \right. ; \left \{ {{x=-\frac{14}{5}} \atop {x \neq 0}} \right. ; x=-\frac{14}{5}$

Ответ: $-\frac{14}{5}$