5x-8lnx-8=0

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Solution for 5x-8lnx-8=0 equation:


Simplifying
5x + -8lnx + -8 = 0

Reorder the terms:
-8 + -8lnx + 5x = 0

Solving
-8 + -8lnx + 5x = 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 + -8lnx + 8 + 5x = 0 + 8

Reorder the terms:
-8 + 8 + -8lnx + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -8lnx + 5x = 0 + 8
-8lnx + 5x = 0 + 8

Combine like terms: 0 + 8 = 8
-8lnx + 5x = 8

Add '-5x' to each side of the equation.
-8lnx + 5x + -5x = 8 + -5x

Combine like terms: 5x + -5x = 0
-8lnx + 0 = 8 + -5x
-8lnx = 8 + -5x

Divide each side by '-8nx'.
l = -1n-1x-1 + 0.625n-1

Simplifying
l = -1n-1x-1 + 0.625n-1

Reorder the terms:
l = 0.625n-1 + -1n-1x-1

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