Simplify the expression $x(x - 5) - 2(x - 5)$.

1. Problem Description

Simplify the expression $x(x - 5) - 2(x - 5)$.

2. Solution Steps

First, expand the terms using the distributive property.

$x(x - 5) = x*x - x*5 = x^2 - 5x$

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

Now, substitute these back into the original expression:

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

Distribute the negative sign to the second term:

$= x^2 - 5x - 2x + 10$

Combine like terms:

$= x^2 + (-5x - 2x) + 10$

$= x^2 - 7x + 10$

3. Final Answer

$x^2 - 7x + 10$