(x+5)(2x-3)

To simplify the expression \((x+5)(2x-3)\), you can use the distributive property (also known as the FOIL method for binomials):

\[ (x + 5)(2x - 3) = x \cdot 2x + x \cdot (-3) + 5 \cdot 2x + 5 \cdot (-3) \]

Now, let's calculate each term:

1. \(x \cdot 2x = 2x^2\)
2. \(x \cdot (-3) = -3x\)
3. \(5 \cdot 2x = 10x\)
4. \(5 \cdot (-3) = -15\)

Now combine these results:

\[ 2x^2 - 3x + 10x - 15 \]

Combine like terms \(-3x\) and \(10x\):

\[ 2x^2 + 7x - 15 \]

Thus, the simplified expression is:

\[ \boxed{2x^2 + 7x - 15} \]