To simplify the expression \( 8x + 3(x + 5) - 5(x - 4) \), we can follow these steps:
-
Distribute the terms inside the parentheses: \[ 3(x + 5) = 3x + 15 \] \[ -5(x - 4) = -5x + 20 \]
-
Substitute these back into the original expression: \[ 8x + (3x + 15) + (-5x + 20) \]
-
Combine like terms:
- Combine the \( x \) terms: \[ 8x + 3x - 5x = (8 + 3 - 5)x = 6x \]
- Combine the constant terms: \[ 15 + 20 = 35 \]
-
Putting it all together gives: \[ 6x + 35 \]
Thus, the simplified expression is: \[ \boxed{6x + 35} \]