Which expression is equivalent to −3x−5?
Responses
(x−7)+(2−4x)
−1+3x−(2x+6)
(−4x−6)+(2+5x)
−1+(x−4x)+6
The expression that is equivalent to −3x−5 is −1+3x−(2x+6).
To find the expression that is equivalent to −3x−5, we need to simplify each of the given expressions and see if any of them match. Let's go through them one by one:
1. (x−7)+(2−4x):
To simplify, we start by removing the parentheses, keeping in mind the signs. This gives us: x - 7 + 2 - 4x.
Next, we rearrange the terms to collect like terms: (x - 4x) + (-7 + 2).
Simplifying further, we combine like terms: -3x - 5.
This expression matches the original expression −3x−5.
2. −1+3x−(2x+6):
Again, let's simplify by removing parentheses while considering the signs: -1 + 3x - 2x - 6.
Now, we can combine like terms: 3x - 2x - 1 - 6.
Simplifying further, we get: x - 7.
This expression does not match the original expression.
3. (−4x−6)+(2+5x):
Removing parentheses and rearranging terms, we get: -4x - 6 + 2 + 5x.
Combining like terms, we have: -4x + 5x - 6 + 2.
Further simplification gives us: x - 4.
This expression does not match the original expression.
4. −1+(x−4x)+6:
After removing parentheses, we have: -1 + x - 4x + 6.
Combining like terms: -4x + x - 1 + 6.
Simplifying further, we get: -3x + 5.
This expression does not match the original expression.
Based on the above calculations, the expression (x−7)+(2−4x) is equivalent to −3x−5.