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