3•(7+4•x)-8•x=4041

To solve the equation \(3 \cdot (7 + 4 \cdot x) - 8 \cdot x = 4041\), we can follow these steps:

1. Distribute the 3 into the parentheses: \[ 3 \cdot 7 + 3 \cdot 4 \cdot x - 8 \cdot x = 4041 \] \[ 21 + 12x - 8x = 4041 \]

2. Combine like terms: \[ 21 + (12x - 8x) = 4041 \] \[ 21 + 4x = 4041 \]

3. Subtract 21 from both sides: \[ 4x = 4041 - 21 \] \[ 4x = 4020 \]

4. Divide both sides by 4: \[ x = \frac{4020}{4} \] \[ x = 1005 \]

Thus, the solution is: \[ \boxed{1005} \]