Which expression is equivalent to −3x−5 ?

Question

(1 point) Responses

(x−7)+(2−4x)
(−4x−6)+(2+5x)
−1+3x−(2x+6)
−1+(x−4x)+6

Answer 1

To find which expression is equivalent to \(-3x - 5\), we need to simplify each of the given expressions and see if any of them equal \(-3x - 5\).

1. Expression 1: \((x - 7) + (2 - 4x)\)
   Simplifying it: \[ x - 7 + 2 - 4x = x - 4x - 7 + 2 = -3x - 5 \]

2. Expression 2: \((-4x - 6) + (2 + 5x)\)
   Simplifying it: \[ -4x - 6 + 2 + 5x = -4x + 5x - 6 + 2 = x - 4 \quad (\text{not equivalent}) \]

3. Expression 3: \(-1 + 3x - (2x + 6)\)
   Simplifying it: \[ -1 + 3x - 2x - 6 = -1 + 3x - 2x - 6 = 3x - 2x - 1 - 6 = x - 7 \quad (\text{not equivalent}) \]

4. Expression 4: \(-1 + (x - 4x) + 6\)
   Simplifying it: \[ -1 + x - 4x + 6 = -1 - 3x + 6 = -3x + 5 \quad (\text{not equivalent}) \]

The only expression that simplifies to \(-3x - 5\) is the first one: \((x - 7) + (2 - 4x)\).

So, the answer is: (x−7)+(2−4x).