To solve the equation \(3m + 17 = 6m + 5\), we can start by isolating the variable \(m\).
- First, subtract \(3m\) from both sides of the equation:
\[ 17 = 6m - 3m + 5 \]
This simplifies to:
\[ 17 = 3m + 5 \]
- Next, subtract 5 from both sides:
\[ 17 - 5 = 3m \]
This simplifies to:
\[ 12 = 3m \]
- Now, divide both sides by 3 to solve for \(m\):
\[ m = \frac{12}{3} \]
This simplifies to:
\[ m = 4 \]
Thus, the value of \(m\) is \( \boxed{4} \).