In order to make the expression below equivalent to 1 2 x + 6, which additional operation should be included in the expression?

5/4x + 6

A - x

B - 2x

C - 3x/4

D + 3x/4

C - 3x/4

Step-by-step explanation:

We want 5/4 x + 6 to be equal to 1/2x+6 by adding something to 5/4x

5/4 x + 6 + y = 1/2x+6

We need to solve for y

Subtract 6 from each side

5/4 x + 6-6 + y = 1/2x+6-6

5/4 x + y = 1/2x

Subtract 5/4x from each side

5/4 x-5/4x + y = 1/2x-5/4x

y = 1/2x-5/4x

Get a common denominator

y = 1/2*2/2 x - 5/4 x

2/4x - 5/4 x

-3/4x

The answer is c-3x/4