To find the value of \( x \), we need to use the relationship given in the problem. Since \( KL \) represents a length and is equal to \( 3x + 2 \), we can set up the following equation:
\[ 3x + 2 = KM \]
Given that \( KM = 14 \) cm, we can substitute that into the equation:
\[ 3x + 2 = 14 \]
Next, we can solve for \( x \):
- Subtract 2 from both sides:
\[ 3x = 14 - 2 \]
\[ 3x = 12 \]
- Divide both sides by 3:
\[ x = \frac{12}{3} \]
\[ x = 4 \]
Thus, the value of \( x \) is \( 4 \).