Let's simplify the expression step by step:
Given expression: \[ 5(x+4) - 3(2 - x) - (3+5)x - 3 \]
Step 1: Distribute the coefficients
\[ 5x + 20 - 3 \times 2 + 3x - (3+5)x - 3 \]
Wait, be careful with distributing \(-3\) over \((2 - x)\) and \(- (3+5) x\).
Actually, it is better to keep the original expression: \[ 5(x+4) - 3(2 - x) - (3+5) x - 3 \]
Now, distribute:
- \( 5(x+4) = 5x + 20 \)
- \( -3(2 - x) = -3 \times 2 + (-3)(-x) = -6 + 3x \) (Note the minus sign before 3(2 - x))
- \( - (3+5) x = -8x \)
- The last term is \(-3\)
Step 2: Combine all parts
Now, write everything out: \[ 5x + 20 - 6 + 3x - 8x - 3 \]
Step 3: Combine like terms
- Coefficients of \(x\): \[ 5x + 3x - 8x = (5 + 3 - 8) x = 0x = 0 \]
- Constant terms: \[ 20 - 6 - 3 = 20 - 9 = 11 \]
Final simplified expression:
\[ 0x + 11 = \boxed{11} \]
Answer: \(\boxed{11}\)