Which expression is equivalent to the expression shown below?
−8x−2(5+4x)
Responses
a −16x−10
b −4x−10
c −14x
d −10
c -14x
To simplify the expression −8x−2(5+4x), we can start by distributing the 2 to the terms inside the parentheses:
−8x−2(5+4x) = −8x−10−8x
Next, combine like terms:
−8x−10−8x = −16x−10
Therefore, the expression is equivalent to option a, −16x−10.
To find an expression that is equivalent to the given expression, we need to simplify it by distributing the -2 to both terms within the parentheses.
The original expression is: -8x - 2(5 + 4x)
To distribute the -2, we multiply it by both terms inside the parentheses:
-8x - 2 * 5 - 2 * 4x
This simplifies to:
-8x - 10 - 8x
Combining like terms, we get:
-16x - 10
Therefore, the expression that is equivalent to the given expression is option a: -16x - 10.