To solve the equation \(9 + 5x + 4 = 14\), first combine the constant terms on the left side:
\[ 9 + 4 = 13 \]
So, the equation simplifies to:
\[ 13 + 5x = 14 \]
Next, subtract 13 from both sides:
\[ 5x = 14 - 13 \]
\[ 5x = 1 \]
Now, divide both sides by 5 to solve for \(x\):
\[ x = \frac{1}{5} \]
Thus, the solution is:
\[ x = \frac{1}{5} \]