If the equation is 4 - (x)/(x-2) = (-2)/(x-2), multiply through by (x-2) to get
4x-8-x = -2, combine like forms, 3x-8 = -2, add 8 to both sides,
3x = 6, then x = 2!! The problem with this is that x-2 = zero, and the equation is nonsense.
If the equation is (4-x)/(x-2) = (-2)/(x-2), then multiply both sides by (x-2) to get
4-x = -2, add x to each side to get 4 = x-2, add 2 to each side to get, x = 6. This at least makes sense.
AOL Health