To evaluate the expression \( x(2x + y) \) with \( x = 2 \) and \( y = 5 \):
First, substitute the values of \( x \) and \( y \) into the expression:
\[ x(2x + y) = 2(2 \cdot 2 + 5) \]
Now calculate \( 2 \cdot 2 + 5 \):
\[ 2 \cdot 2 = 4 \] \[ 4 + 5 = 9 \]
Now substitute this back into the expression:
\[ 2(9) \]
Now multiply:
\[ 2 \cdot 9 = 18 \]
Thus, the value of the expression \( x(2x + y) \) when \( x = 2 \) and \( y = 5 \) is \( \boxed{18} \).