Respuesta :

The value of x is 2

Step-by-step explanation:

As the question might be missing some information.

We assume that the points L, M and N are situated on a line

and L<M<N

Then M is somewhere mid-way between L and N

So

[tex]LN = LM+MN\\20x-4 = 6x + 10x+4\\20x-4 = 16x+4\\20x-16x-4 = 16x-16x+4\\4x-4 = 4\\4x = 4+4\\4x = 8[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{8}{4}\\x = 2[/tex]

Hence,

The value of x is 2

Keywords: Coordinate geometry, variables

Learn more about coordinate geometry at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

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