We are asked to simplify the expression $2x(4x^2 - xy + 5)$. This requires distributing $2x$ to each term inside the parentheses.

1. Problem Description

We are asked to simplify the expression $2x(4x^2 - xy + 5)$. This requires distributing $2x$ to each term inside the parentheses.

2. Solution Steps

First, we distribute $2x$ to each term inside the parentheses:

$2x(4x^2 - xy + 5) = (2x)(4x^2) - (2x)(xy) + (2x)(5)$.

Next, we simplify each term:

$(2x)(4x^2) = 8x^3$

$(2x)(xy) = 2x^2y$

$(2x)(5) = 10x$

Finally, we combine the simplified terms:

$8x^3 - 2x^2y + 10x$

3. Final Answer

$8x^3 - 2x^2y + 10x$