Which of the following expressions is not equivalent to the others? explain.

A. 6 (x-1) + 5 B. 6x-1 C. 6 (1-x) + 5 D. 5+6x-6

The answer is C. Explanation is below:

All of the equations equal 6x-1 when they are simplified except for C. the work is below:

a. 6 (x-1) + 5 → Distribute the 6 times x and 6 times - 1

6x - 6 + 5 → Now combine like terms

6x - 1

b. 6x - 1 → This is already simplified.

c. 6 (1-x) + 5 → Distribute the 6 times 1 and 6 times - x.

6 - 6x + 5 → Combine like terms

-6x + 11

d. 5 + 6x - 6 → Combine like terms

6x - 1