To determine if \( x = 6 \) is a solution of the equation \( 9x + 5 = 56 \), we can substitute \( x \) with \( 6 \) in the equation and see if the equation holds true.
Starting with the equation:
\[ 9x + 5 = 56 \]
Substituting \( x = 6 \):
\[ 9(6) + 5 = 56 \]
Calculating \( 9(6) \):
\[ 54 + 5 = 56 \]
Now, summing \( 54 + 5 \):
\[ 59 \neq 56 \]
Since the left side does not equal the right side, \( x = 6 \) is not a solution of the equation \( 9x + 5 = 56 \).