Which expression is equivalent to −3x−5

Question

−
3
𝑥
−
5
?(1 point)
Responses

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

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

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

−1+3x−(2x+6)

Answer 1

To determine which expression is equivalent to $-3x-5$, we can simplify each of the given options and see which one matches.

1. Option 1: $(x-7)+(2-4x)$ $$=x-7+2-4x=x-4x-7+2=-3x-5$$ This expression simplifies to $-3x-5$.

2. Option 2: $-1+(x-4x)+6$ $$=-1+x-4x+6=-1-3x+6=-3x+5$$ This expression simplifies to $-3x+5$, which is not equivalent.

3. Option 3: $(-4x-6)+(2+5x)$ $$=-4x-6+2+5x=-4x+5x-6+2=x-4$$ This expression simplifies to $x-4$, which is not equivalent.

4. Option 4: $-1+3x-(2x+6)$ $$=-1+3x-2x-6=-1+3x-2x-6=3x-2x-1-6=x-7$$ This expression simplifies to $x-7$, which is not equivalent.

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