Question

Which expression is equivalent to −3x−5 ?(1 point) Responses (−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 (x−7)+(2−4x)

Answer 1

To determine which expression is equivalent to \(-3x - 5\), let's simplify each of the given options:

1. **Option 1**: \((-4x - 6) + (2 + 5x)\)

Simplifying:
\[
-4x - 6 + 2 + 5x = (-4x + 5x) + (-6 + 2) = 1x - 4 = x - 4
\]
This is not equivalent.

2. **Option 2**: \(-1 + 3x - (2x + 6)\)

Simplifying:
\[
-1 + 3x - 2x - 6 = -1 + (3x - 2x) - 6 = -1 + 1x - 6 = x - 7
\]
This is not equivalent.

3. **Option 3**: \(-1 + (x - 4x) + 6\)

Simplifying:
\[
-1 + (x - 4x) + 6 = -1 - 3x + 6 = -3x + 5
\]
This is not equivalent.

4. **Option 4**: \((x - 7) + (2 - 4x)\)

Simplifying:
\[
(x - 7) + (2 - 4x) = x - 7 + 2 - 4x = (x - 4x) + (-7 + 2) = -3x - 5
\]
This is equivalent to \(-3x - 5\).

Thus, the expression that is equivalent to \(-3x - 5\) is:

\[
\boxed{(x - 7) + (2 - 4x)}
\]