To simplify the expression \( 8x + 3(x + 5) - 5(x - 4) \), we can follow these steps:
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Distribute the constants in front of the parentheses: \[ 8x + 3(x + 5) - 5(x - 4) = 8x + 3x + 15 - 5x + 20 \]
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Combine like terms: \[ (8x + 3x - 5x) + (15 + 20) = (8x + 3x - 5x) + 35 \] \[ = (8x - 5x + 3x) + 35 = 6x + 35 \]
So, the simplified expression is: \[ \boxed{6x + 35} \]