To solve the equation \( 16 - 490x + 38 = 9 \), first, combine like terms on the left side of the equation:
\[ 16 + 38 - 490x = 9 \]
This simplifies to:
\[ 54 - 490x = 9 \]
Next, isolate the term with \( x \) by subtracting 54 from both sides:
\[ -490x = 9 - 54 \]
\[ -490x = -45 \]
Now, divide both sides by -490 to solve for \( x \):
\[ x = \frac{-45}{-490} \]
This simplifies to:
\[ x = \frac{45}{490} \]
Now, reduce the fraction:
\[ x = \frac{9}{98} \]
Thus, the solution is:
\[ x = \frac{9}{98} \]