ln(2x)-2x+1=0

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Solution for ln(2x)-2x+1=0 equation:


Simplifying
ln(2x) + -2x + 1 = 0

Remove parenthesis around (2x)
ln * 2x + -2x + 1 = 0

Reorder the terms for easier multiplication:
2ln * x + -2x + 1 = 0

Multiply ln * x
2lnx + -2x + 1 = 0

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

Solving
1 + 2lnx + -2x = 0

Solving for variable 'l'.

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

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

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

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

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

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

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

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

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

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

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