ln(x)-5x=-2

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Solution for ln(x)-5x=-2 equation: 


Simplifying
ln(x) + -5x = -2

Multiply ln * x
lnx + -5x = -2

Solving
lnx + -5x = -2

Solving for variable 'l'.

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

Add '5x' to each side of the equation.
lnx + -5x + 5x = -2 + 5x

Combine like terms: -5x + 5x = 0
lnx + 0 = -2 + 5x
lnx = -2 + 5x

Divide each side by 'nx'.
l = -2n-1x-1 + 5n-1

Simplifying
l = -2n-1x-1 + 5n-1

Reorder the terms:
l = 5n-1 + -2n-1x-1

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