Which expression is equivalent to the expression shown below?
−8x−2(5+4x)
Responses
−16x−10
− 16 x − 10
−4x−10
− 4 x − 10
−14x
− 14 x
−10
None of the above expressions are equivalent to the given expression.
To find the equivalent expression, you need to distribute the -2 to both terms inside the parentheses.
-8x - 2(5 + 4x) becomes -8x - 10 - 8x.
Combine like terms by adding the coefficients of x.
-8x - 10 - 8x is equal to -16x - 10.
Therefore, the expression that is equivalent to -8x - 2(5 + 4x) is -16x - 10.
To find the equivalent expression, we need to distribute the -2 to both terms inside the parentheses.
Starting with the given expression: -8x - 2(5 + 4x)
First, distribute -2 to 5: -8x - 2(5) = -8x - 10
Next, distribute -2 to 4x: -2(4x) = -8x
Combine the like terms: -8x - 10 - 8x = -16x - 10
Therefore, the equivalent expression is -16x - 10.