To find the value of \( x \) in the equation \( x = (8n)° \) and equal to \( 48° \), we set the two expressions equal to each other:
\[ 8n = 48 \]
Next, we solve for \( n \):
\[ n = \frac{48}{8} = 6 \]
Now that we have the value of \( n \), we can substitute it back into the expression for \( x \):
\[ x = 8n = 8 \cdot 6 = 48° \]
Thus, the value of \( x \) is
\[ \boxed{48°} \]