-x+2lnx+8=0

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Solution for -x+2lnx+8=0 equation: 


Simplifying
-1x + 2lnx + 8 = 0

Reorder the terms:
8 + 2lnx + -1x = 0

Solving
8 + 2lnx + -1x = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + 2lnx + -8 + -1x = 0 + -8

Reorder the terms:
8 + -8 + 2lnx + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2lnx + -1x = 0 + -8
2lnx + -1x = 0 + -8

Combine like terms: 0 + -8 = -8
2lnx + -1x = -8

Add 'x' to each side of the equation.
2lnx + -1x + x = -8 + x

Combine like terms: -1x + x = 0
2lnx + 0 = -8 + x
2lnx = -8 + x

Divide each side by '2nx'.
l = -4n-1x-1 + 0.5n-1

Simplifying
l = -4n-1x-1 + 0.5n-1

Reorder the terms:
l = 0.5n-1 + -4n-1x-1

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