Simplify (3x − 8) + (2x + 5) − (4x − 8).

Question

Responses
A x − 11x − 11
B x + 5x + 5
C x + 21x + 21
D 9x + 59x + 5
E 9x − 11

Answer 1

To simplify the expression \((3x − 8) + (2x + 5) − (4x − 8)\), we can start by removing the parentheses and combining like terms.

1. Distribute the subtraction in the last term: \[ (3x - 8) + (2x + 5) - (4x - 8) = (3x - 8) + (2x + 5) - 4x + 8 \]

2. Now, combine the terms: \[ (3x + 2x - 4x) + (-8 + 5 + 8) \]

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

4. Combine the constant terms: \[ -8 + 5 + 8 = -8 + 13 = 5 \]

Putting it all together, we have: \[ x + 5 \]

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

None of the provided options seems to match perfectly, but looking at all the choices listed, the closest choice would be option B:

B: x + 5