Question

2-x/3+3-x/4+5-x/6+3/4=x-4/5

Answer 1

Respuesta:

$x=\frac{33}{5}$

Explicación paso a paso:

$2-\frac{x}{3}+3-\frac{x}{4}+5-\frac{x}{6}+\frac{3}{4}=x-\frac{4}{5}\\\\\mathrm{Agrupar\:terminos\:semejantes}\\\\\frac{x}{3}-\frac{x}{4}-\frac{x}{6}+\frac{3}{4}+2+3+5=x-\frac{4}{5}\\\\-\frac{x}{3}-\frac{x}{4}-\frac{x}{6}+10+\frac{3}{4}=x-\frac{4}{5}\\\\\mathrm{Combinar\:las\:fracciones\:usando\:el\:minimo\:comun\:denominador}:\quad \frac{43}{4}\\\\\frac{43}{4}-\frac{x}{3}-\frac{x}{4}-\frac{x}{6}=x-\frac{4}{5}\\\\\mathrm{Encontrar\:el\:minimo\:comun\:multiplo\:de\:}4,\:3,\:6,\:5:\quad 60$

$645-20x-15x-10x=60x-48\\\\645-45x=60x-48\\\\-45x=60x-693\\\\-105x=-693\\\\x=\frac{33}{5}$