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
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