To simplify the expression \(8x + 3(x + 5) - 5(x - 4)\), let's follow these steps:
-
Distribute the \(3\) and \(-5\) across their respective parentheses: \[ 8x + 3x + 15 - 5x + 20 \]
-
Combine like terms:
- Combine the \(x\) terms: \(8x + 3x - 5x\) gives: \[ (8 + 3 - 5)x = 6x \]
- Combine the constant terms: \(15 + 20\) gives: \[ 35 \]
-
Putting it all together, we have: \[ 6x + 35 \]
Thus, the simplified expression is: A. 6x + 35