Question

x/2+2/3=x/3+1-1/2(1-x+1/3)​

Answer 1

¡Hola!

Respuesta:

$Es\:x=1$

Explicación paso a paso:

$\frac{x}{2}+\frac{2}{3}=\frac{x}{3}+1-\frac{1}{2}\left(1-x+\frac{1}{3}\right)​\\\\\frac{x}{2}+\frac{2}{3}=\frac{x}{3}+1-\frac{1-x+\frac{1}{3}}{2}\\\\Minimo\:comun\:multiplo\:de: 2;3=6\\\\Multiplicamos\:6\:a\:todos\:los\:factores:\\\\\frac{x}{2}\cdot \:6+\frac{2}{3}\cdot \:6=\frac{x}{3}\cdot \:6+1\cdot \:6-\frac{1-x+\frac{1}{3}}{2}\cdot \:6\\\\Simplificamos:\\\\3x+4=2x+6-\left(-3x+4\right)\\\\3x+4=2x+6+3x-4\\\\3x+4=5x+2\\\\3x-5x=2-4\\\\-2x=-2\\\\x=\frac{-2}{-2} \\\\x=1$