(4x-5)-(8-5x)

To simplify the expression \((4x - 5) - (8 - 5x)\), follow these steps:

1. Distribute the negative sign across the second parenthesis: \[ (4x - 5) - 8 + 5x \]

2. Now combine like terms: \[ 4x + 5x - 5 - 8 \] This simplifies to: \[ (4x + 5x) + (-5 - 8) = 9x - 13 \]

So, the simplified expression is: \[ \boxed{9x - 13} \]