Respuesta :

Refine:

[tex] \frac{2x-4}{10} [/tex]

factor out common term 2 :

[tex] \frac{2(x-2)}{10} [/tex]

Cancel the common factor 2 :

[tex] \frac{x-2}{5} [/tex]

Refine:

[tex] \frac{2x}{20} [/tex]

[tex] \frac{x-2}{5} = \frac{x}{10} [/tex]

find least common multiplier of 5 and 10

Multiply  by LCM = 10

[tex] \frac{x-2}{5} *10 = \frac{x}{10} *10[/tex]

[tex]2(x-2)=x[/tex]

[tex]2x - 4 = x[/tex]

Add 4 to both sides:

[tex]2x-4+4 = x+4[/tex]

[tex]2x = x + 4[/tex]

[tex]2x - x = 4[/tex]

[tex]x = 4[/tex]

hope this helps!