Answer:
-1.5x + 21.5 (or (43-3x)/2)
Explanation:
(-5/6x + 51/2) - (2/3x + 4)
First, find the opposite of 2/3x + 4 because of the negative sign.
-5/6x + 51/2 - 4/6x - 4
Now combine -5/6x and -4/6x to get -9/6x or -3/2x
-3/2x + 51/2 - 4
Convert 4 into 8/2 since 51/2 is a fraction.
-3/2x + 51/2 - 8/2
Since the denominators of 51/2 and -8/2 are the same, just subtract 51 and 8 to get 43.
-3/2x + 43/2
-3/2x and 43/2 have the same denominator (2), so you can just put it like this (It's up to you!):
(43-3x)/2
The answer to (-5/6 + 51/2) - (2/3x + 4) is -3/2x + 43/2 (or (43-3x)/2)
Or you could put it like this (I converted both -3/2 and 43/2 to a decimal.)
-1.5x + 21.5