$3 \cdot(x-4)-4 \cdot(6-2 x)-5(3 x-4)$
\(\boxed{-4x - 16}\)
Step 1 :\(3 \cdot(x-4)-4 \cdot(6-2 x)-5(3 x-4)\)
Step 2 :Distribute the multiplication:
Step 3 :\(3x - 12 - 24 + 8x - 15x + 20\)
Step 4 :Combine like terms:
Step 5 :\(-4x - 16\)
Step 6 :\(\boxed{-4x - 16}\)