1 / 2[1 + 1 / 4(3× - 1)] = 2× / 3 - 1 / 2?

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B1%2B%20%5Cfrac%7B1%7D%7B4%7D%283x-1%29%5D%3D%20%5Cfrac%7B2x%7D%7B3%7D-%20%5Cfrac%7B1%7D%7B2%7D" />

Primero resolvemos lo que esta dentro del paréntesis

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B1%2B%20%5Cfrac%7B3x%7D%7B4%7D-%20%5Cfrac%7B1%7D%7B4%7D%20%5D%3D%20%5Cfrac%7B2x%7D%7B3%7D-%20%5Cfrac%7B1%7D%7B2%7D" />

Sacamos el MCM

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B4%2B3x-1%7D%7B4%7D%20%20%5D%3D%20%5Cfrac%7B2x%7D%7B3%7D-%20%5Cfrac%7B1%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B3%2B3x%7D%7B4%7D%20%5D%3D%20%5Cfrac%7B2x%7D%7B3%7D-%20%5Cfrac%7B1%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2B3x%7D%7B8%7D%3D%20%5Cfrac%7B2x%7D%7B3%7D-%20%5Cfrac%7B1%7D%7B2%7D%20%20%20" />

Sacamos el MCM del lado derecho de la ecuación

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2B3x%7D%7B8%7D%3D%20%5Cfrac%7B4x-3%7D%7B6%7D%20" />

El 8 que esta dividiendo paso a multiplicar

<img src="https://tex.z-dn.net/?f=3%2B3x%3D%208%28%5Cfrac%7B4x-3%7D%7B6%7D%29" />

sacamo mitad de 8 y 6

<img src="https://tex.z-dn.net/?f=3%2B3x%3D%204%28%5Cfrac%7B4x-3%7D%7B3%7D%29" />

<img src="https://tex.z-dn.net/?f=3%2B3x%3D%20%28%5Cfrac%7B16x-12%7D%7B3%7D%29" />

9 + 9x = 16x - 12

agrupamos en un solo lado lo que tienen variable - 16x + 9x = - 12 - 9 - 7x = - 21

<img src="https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-21%7D%7B-7%7D%20" />

[img = 10].