Rule on Subtraction of polynomials: Change the sign of each term of the subtrahend, then proceed to addition:
Subtrahend: 5 - 4x becomes -5 +4x or 4x - 5
Combine similar terms:
(4x² + 3x - 3) + (4x - 5)
= 4x² + 3x + 4x - 3 -5
= 4x² + 7x - 8
ANSWER: 4x² + 7x - 8