To simplify the expression \((3x−8)+(2x+5)−(4x−8)\), follow these steps:
-
Distribute the negative sign across the third term: \[ (3x - 8) + (2x + 5) - 4x + 8 \]
-
Combine like terms:
- Combine the \(x\) terms: \(3x + 2x - 4x = (3 + 2 - 4)x = 1x = x\)
- Combine the constant terms: \(-8 + 5 + 8 = -8 + 5 + 8 = -8 + 13 = 5\)
-
The simplified expression is: \[ x + 5 \]
Thus, the final answer is \(x + 5\).