Which expression is equivalent to −3x−5

Question

?(1 point)
Responses

(x−7)+(2−4x)
left parenthesis x minus 7 right parenthesis plus left parenthesis 2 minus 4 x right parenthesis

(−4x−6)+(2+5x)
left parenthesis negative 4 x minus 6 right parenthesis plus left parenthesis 2 plus 5 x right parenthesis

−1+3x−(2x+6)
negative 1 plus 3 x minus left parenthesis 2 x plus 6 right parenthesis

−1+(x−4x)+6
negative 1 plus left parenthesis x minus 4 x right parenthesis plus 6

Answer 1

To find which expression is equivalent to \(-3x - 5\), we will simplify each option.

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

2. Option 2: \((-4x - 6) + (2 + 5x)\) \[ = -4x - 6 + 2 + 5x = (-4x + 5x) + (-6 + 2) = 1x - 4 \]

3. Option 3: \(-1 + 3x - (2x + 6)\) \[ = -1 + 3x - 2x - 6 = (3x - 2x) + (-1 - 6) = 1x - 7 \]

4. Option 4: \(-1 + (x - 4x) + 6\) \[ = -1 + (1x - 4x) + 6 = -1 - 3x + 6 = -3x + 5 \]

Now we summarize the results:

• Option 1 simplifies to \(-3x - 5\).
• Option 2 simplifies to \(x - 4\).
• Option 3 simplifies to \(x - 7\).
• Option 4 simplifies to \(-3x + 5\).

The only option that simplifies to \(-3x - 5\) is Option 1: \((x - 7) + (2 - 4x)\).