Question

Which expression is equivalent to −3x−5
?(1 point)
Responses

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

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

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

(−4x−6)+(2+5x)

Answer 1

What the answer

Answer 2

To determine which expression is equivalent to \(-3x - 5\), we can simplify each expression and check if it matches \(-3x - 5\).

1. **First Expression: \((x - 7) + (2 - 4x)\)**
\[
(x - 7) + (2 - 4x) = x - 7 + 2 - 4x = (x - 4x) - 7 + 2 = -3x - 5
\]
This expression is equivalent to \(-3x - 5\).

2. **Second Expression: \(-1 + (x - 4x) + 6\)**
\[
-1 + (x - 4x) + 6 = -1 + (-3x) + 6 = -3x + 5
\]
This expression simplifies to \(-3x + 5\), which is not equivalent to \(-3x - 5\).

3. **Third Expression: \(-1 + 3x - (2x + 6)\)**
\[
-1 + 3x - (2x + 6) = -1 + 3x - 2x - 6 = 3x - 2x - 1 - 6 = x - 7
\]
This expression simplifies to \(x - 7\), which is not equivalent to \(-3x - 5\).

4. **Fourth Expression: \((-4x - 6) + (2 + 5x)\)**
\[
(-4x - 6) + (2 + 5x) = -4x - 6 + 2 + 5x = (-4x + 5x) - 6 + 2 = 1x - 4
\]
This expression simplifies to \(x - 4\), which is not equivalent to \(-3x - 5\).

Based on the above simplifications, the only expression that is equivalent to \(-3x - 5\) is the **first expression**: \((x - 7) + (2 - 4x)\).