Final answer:
The expressions that are equivalent to -12x-10+6x are (a) -6x -10 and (b) -2(3x + 5), as both simplify to the same thing. Option (c) is not equivalent.
Step-by-step explanation:
To find the expressions that are equivalent to -12x-10+6x, we need to simplify the expression by combining like terms. In this case, we combine the terms with the variable x:
-12x + 6x = -6x
So now, the simplified expression is -6x - 10. Let's compare this with the given options:
- (a) -6x - 10 is equivalent as it matches the simplified expression.
- (b) -2(3x + 5) is equivalent because if we distribute the -2, we get -6x - 10, which is the same as the simplified expression.
- (c) 16x - 8 - 2 is not equivalent because it simplifies to 16x - 10, which does not have the same coefficients as our expression.
Therefore, the expressions equivalent to -12x-10+6x are (a) and (b).