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Simplify the expression.

(3x−8)+(2x+5)−(4x−8)
(1 point)
Responses

9x−11
9 x minus 11

x+5
x plus 5

9x+5
9 x plus 5

x−11

1 answer

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

  1. Combine like terms: \[ (3x + 2x - 4x) + (-8 + 5 + 8) \]

  2. Start with the \(x\) terms: \[ 3x + 2x - 4x = (3 + 2 - 4)x = 1x = x \]

  3. Then, combine the constant terms: \[ -8 + 5 + 8 = (-8 + 8) + 5 = 0 + 5 = 5 \]

  4. Combine both results: \[ x + 5 \]

Thus, the simplified expression is \(x + 5\).

So the correct response is: x + 5.