To evaluate the expression \( 2(3y + x) \) with the values \( x = 5 \) and \( y = 3 \), we will follow these steps:
- Substitute the values of \( x \) and \( y \) into the expression.
- Calculate the value inside the parentheses.
- Multiply the result by 2.
Let's perform the substitution first:
\[ 2(3y + x) = 2(3(3) + 5) \]
Now, calculate \( 3(3) + 5 \):
\[ 3(3) = 9 \] \[ 9 + 5 = 14 \]
Now, we can substitute this back into the expression:
\[ 2(14) \]
Finally, multiply by 2:
\[ 2 \times 14 = 28 \]
Thus, the value of the expression \( 2(3y + x) \) is \( \boxed{28} \).