Explanation

Let's solve the equation:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combine like terms:

-3x + 21 = 2x - 28

Add 3x to both sides:

21 = 5x - 28

Add 28 to both sides:

49 = 5x

Divide by 5:

x = 49/5