With these values x = 14.
In order to find this, we must note that LM will be half of KM (since L is the midpoint). Because we know this, we also know that we can multiply LM by 2 and set equal to KM.
2LM = KM
2(2x + 4) = 5x - 6
4x + 8 = 5x - 6
8 = x - 6
14 = x