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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

Let's simplify the expression step by step:

\((3x - 8) + (2x + 5) - (4x - 8)\)

First, distribute the negative sign in front of the parentheses:

\((3x - 8) + (2x + 5) - 4x + 8\)

Now, combine the like terms:

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

  2. Combine the constant terms: \[ -8 + 5 + 8 = (-8 + 8) + 5 = 0 + 5 = 5 \]

So, the simplified expression is: \[ x + 5 \]

Therefore, the correct response is:

x + 5