Which expression is equivalent to −3x−5
?(1 point)
Responses
(−4x−6)+(2+5x)
open paren negative 4 x minus 6 close paren plus open paren 2 plus 5 x close paren
(x−7)+(2−4x)
open paren x minus 7 close paren plus open paren 2 minus 4 x close paren
−1+3x−(2x+6)
negative 1 plus 3 x minus open paren 2 x plus 6 close paren
−1+(x−4x)+6
negative 1 plus open paren x minus 4 x close paren plus 6
The expression equivalent to −3x−5 is −1+3x−(2x+6).
The expression that is equivalent to −3x−5 is:
−1+3x−(2x+6) or negative 1 plus 3 x minus (2 x plus 6).
To determine which expression is equivalent to −3x−5, we can simplify each expression by combining like terms.
Let's simplify each expression:
(−4x−6)+(2+5x)
First, we simplify within the parentheses:
-4x - 6 + 2 + 5x
Combine like terms:
(5x - 4x) + (2 - 6)
x - 4
(x−7)+(2−4x)
Combine like terms within each set of parentheses:
x - 7 + 2 - 4x
Combine like terms:
x - 4x - 7 + 2
-3x - 5
−1+3x−(2x+6)
First, simplify within the second set of parentheses:
-1 + 3x - 2x - 6
Combine like terms:
3x - 2x - 1 - 6
x - 7
−1+(x−4x)+6
Combine like terms within the parentheses:
-1 + (x - 4x) + 6
Combine like terms:
-1 + (1x - 4x) + 6
Combine like terms:
-1 - 3x + 6
Combine like terms:
-3x + 5
Based on the simplification, we can see that the expression equivalent to −3x−5 is −3x + 5.