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Simplify the expression.

(3x−8)+(2x+5)−(4x−8)


(1 point)
Responses

9x−11

x+5

9x+5

x−11

1 answer

To simplify the expression \((3x−8)+(2x+5)−(4x−8)\), follow these steps:

  1. Distribute the negative sign across the third term: \[ (3x - 8) + (2x + 5) - 4x + 8 \]

  2. Combine like terms:

    • Combine the \(x\) terms: \(3x + 2x - 4x = (3 + 2 - 4)x = 1x = x\)
    • Combine the constant terms: \(-8 + 5 + 8 = -8 + 5 + 8 = -8 + 13 = 5\)

  3. The simplified expression is: \[ x + 5 \]

Thus, the final answer is \(x + 5\).