Răspuns :

Răspuns: [tex]\color{red}~\boxed{\Large\bf x= \dfrac{16}{5} }[/tex]

Explicație pas cu pas:

Buna!

[tex]\large\bf \dfrac{x-2}{3}= \dfrac{4-x}{2}~~~\bigg|\cdot6[/tex]

[tex]\large\bf \not6\cdot\dfrac{x-2}{\not3}= \not6\cdot\dfrac{4-x}{\not2}[/tex]

[tex]\large\bf 2\cdot (x-2)= 3\cdot(4-x)[/tex]

[tex]\large\bf 2x-4= 12-3x[/tex]

[tex]\large\bf 2x-4+3x= 12[/tex]

[tex]\large\bf 5x= 12+4[/tex]

[tex]\large\bf 5x= 16[/tex]

[tex]\boxed{\boxed{\large\bf x= \dfrac{16}{5} }}[/tex]

#copaceibrainly