Question

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

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

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

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

(−4x−6)+(2+5x)

Answer 1

To determine which expression is equivalent to \(-3x - 5\), let's simplify each given expression and see which one matches.

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

Simplifying:
\(-1 + (x - 4x) + 6 = -1 + (-3x) + 6 = -3x + 5\)
(Not equivalent)

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

Simplifying:
\(x - 7 + 2 - 4x = x - 4x - 5 = -3x - 5\)
(This is equivalent!)

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

Simplifying:
\(-1 + 3x - 2x - 6 = 3x - 2x - 1 - 6 = x - 7\)
(Not equivalent)

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

Simplifying:
\(-4x - 6 + 2 + 5x = (-4x + 5x) + (-6 + 2) = x - 4\)
(Not equivalent)

The expression that is equivalent to \(-3x - 5\) is:

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