If L is the midpoint of KM (with a line over the top)and KM = 5x - 6 and LM = 2x + 4, what is the value of x?

KM = 2LM,

5x - 6 = 2(2x+4),
5x - 6 = 4x + 8,
5x - 4x = 8 + 6,
X = 14.

To find the value of x, we can set up an equation using the given information.

Since L is the midpoint of KM, we know that LM is equal to MK.

Given:
KM = 5x - 6
LM = 2x + 4

Setting up the equation:
LM = MK

Plugging in the values from the given information:
2x + 4 = 5x - 6

Now, we can solve this equation to find the value of x.

Moving all the terms with x to one side and the constant terms to the other side, we get:
2x - 5x = -6 - 4
-3x = -10

Dividing both sides of the equation by -3 gives us:
x = (-10) / (-3)
x = 10/3

Therefore, the value of x is 10/3.