Respuesta :

Given:

[tex]|\frac{x}{8}|=3[/tex]

Applying absolute value property

[tex]\frac{x}{8}=-3\text{ and }\frac{x}{8}=3[/tex]

Multiply both-side by 8.

That is;

[tex]\begin{gathered} \frac{x}{8}\times8=-3\times8 \\ \\ \text{and } \\ \\ \frac{x}{8}\times8=3\times8 \end{gathered}[/tex]

[tex]x=-24\text{ and x=24}[/tex]

Hence, x=-24 and x=24