tell whether this pair of expressions is equivalent

Yes, these two expressions are equivalent.

Simplifying the first expression:
(-1/4)(12x)(-5) = (-1/4)(-60x) = (60x)/4 = 15x

So, the simplified version of the first expression is 15x, which is the same as the second expression, 12x. This shows that the two expressions are equivalent.

incorrect

I apologize for the mistake.

The two expressions (-1/4)(12x)(-5) and 12x are not equivalent.

Let's simplify the first expression:
(-1/4)(12x)(-5) = (3x)(-5) = -15x

So, the simplified version of the first expression is -15x, which is not the same as the second expression, 12x. This shows that the two expressions are not equivalent.