5(0.5x + 4) = 8(4 + x)

Expand both sides:

2.5x + 20 = 32 + 8x

Combine like terms:

-5.5x = 12

Divide by -5.5:

x = -2.1818...

Therefore, the solution to the equation 5(0.5x + 4) = 8(4 + x) is x = -2.1818...