Question

(x-2)/7-(7-x)/2=2 ayuda pls

Answer 1

Respuesta:

$x=9$

Explicación paso a paso:

$\frac{\left(x-2\right)}{7}-\frac{\left(7-x\right)}{2}=2\\\\\frac{x-2}{7}-\frac{7-x}{2}=2\\\\\mathrm{Encontrar\:el\:minimo\:comun\:multiplo\:de\:}7,\:2:\quad 14\\\\\mathrm{Multiplicar\:por\:el\:minimo\:comun\:multiplo=}14\\\\\frac{x-2}{7}\cdot \:14-\frac{7-x}{2}\cdot \:14=2\cdot \:14\\\\2\left(x-2\right)-7\left(-x+7\right)=28\\\\\mathrm{Desarrollar\:}2\left(x-2\right)-7\left(-x+7\right):\quad 9x-53\\\\9x-53=28\\\\9x=81\\\\x=9$