Question

h. me ayudan con este ejercicio paso x paso porfavor gracias​

Answer 1

Respuesta:

$x=\dfrac{1}{4}$

Explicación paso a paso:

$\large{\boxed{\mathsf{ Para\ la\ Ecuaci\'on }}$

$\dfrac{x}{2}-\dfrac{x}{3}=\boldsymbol{ \dfrac{1}{6}(x-\dfrac{3}{2})}+x$

$\boldsymbol{\dfrac{x}{2}-\dfrac{x}{3}}=\dfrac{1}{6}x+\dfrac{1}{6}.(-\dfrac{3}{2})+x$

$\dfrac{\boldsymbol{3x-2x }}{6}=\dfrac{1}{6}x+\dfrac{1}{6}.(-\dfrac{3}{2})+x$

$\dfrac{x}{6}=\boldsymbol{ \dfrac{1}{6}x}+\dfrac{1}{6}.(-\dfrac{3}{2})+x$

$\dfrac{x}{6}= \dfrac{x}{6} +\boldsymbol{\dfrac{1}{6}.(- \dfrac{3}{2}) } +x$

$\dfrac{x}{6}=\dfrac{x}{6}-\dfrac{1}{4}+x$

$\dfrac{x}{6}=\dfrac{x}{6}+\boldsymbol{x}-\dfrac{1}{4}$

$\dfrac{x}{6}=\boldsymbol{\dfrac{x}{6} }+\dfrac{x}{1}\boldsymbol{-\dfrac{1}{4} }$

$\boldsymbol{ \dfrac{x}{6}=\dfrac{2x-3}{12}+\dfrac{x}{1}}$

$2x = 14x-3$

$2x - 14x=-3$

$-12x=-3$

$12x=3$

$\boldsymbol{\Longrightarrow } x=\dfrac{1}{4}$

Espero que te haya servido mi respuesta.  

Atte..

$\boxed{ \boxed{Emily\ Nicolette}}$