-1/3x
What term can you add to 5/6x -4 to make it equivalent to 1/2x - 4?
First I see the constants (-4) are equal to each other, so I don’t need to add anything to them.
5/6x and 1/2x are different though, so I know I need to add something, let’s call it y, to 5/6x to make it equal 1/2x
To add fractions, they have to have the same denominator. 1/2x becomes 3/6x.
5/6x + y = 3/6x
Subtract 5/6x from both sides
y = -2/6x
-2/6x can be simplified to -1/3x, so -1/3x is the answer.