Which procedure justifies whether - 3x (5-4) + 3 (x-6) is equivalent to - 12x-6?

The expressions are not equivalent because and.

The expressions are not equivalent because and.

The expressions are equivalent because and.

The expressions are equivalent because and.

Option (a) is correct.

Step-by-step explanation:

Given : Expressions 3x (5-4) + 3 (x-6) and - 12x-6

We have to choose which option from the given options justifies the correct procedure to show the given two expressions are equivalent or not.

Since to check two given expressions are equivalent or not. Simply put the same value of unknown and evaluate the values of both the given expressions. If it comes out to be same then they are equivalent otherwise not.

Consider the given expression 3x (5-4) + 3 (x-6) and - 12x-6

Evaluate both at x = 2

So, 3 (2) (5-4) + 3 (2-6) = - 18

and - 12 (2) - 6 = - 30

So both the expressions are not equivalent.

Hence, option (a) is correct.

Step-by-step explanation:

-3x (5-4) + 3 (x-6)

-15x + 12 + 3x - 18

-15x + 3x + 12 - 18

-12x - 6