1.38629+ln*x=1.94591+ln*(2x-4)

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Solution for 1.38629+ln*x=1.94591+ln*(2x-4) equation: 


Simplifying
1.38629 + ln * x = 1.94591 + ln(2x + -4)

Multiply ln * x
1.38629 + lnx = 1.94591 + ln(2x + -4)

Reorder the terms:
1.38629 + lnx = 1.94591 + ln(-4 + 2x)
1.38629 + lnx = 1.94591 + (-4 * ln + 2x * ln)
1.38629 + lnx = 1.94591 + (-4ln + 2lnx)

Solving
1.38629 + lnx = 1.94591 + -4ln + 2lnx

Solving for variable 'l'.

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

Add '4ln' to each side of the equation.
1.38629 + 4ln + lnx = 1.94591 + -4ln + 4ln + 2lnx

Combine like terms: -4ln + 4ln = 0
1.38629 + 4ln + lnx = 1.94591 + 0 + 2lnx
1.38629 + 4ln + lnx = 1.94591 + 2lnx

Add '-2lnx' to each side of the equation.
1.38629 + 4ln + lnx + -2lnx = 1.94591 + 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
1.38629 + 4ln + -1lnx = 1.94591 + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
1.38629 + 4ln + -1lnx = 1.94591 + 0
1.38629 + 4ln + -1lnx = 1.94591

Add '-1.38629' to each side of the equation.
1.38629 + 4ln + -1.38629 + -1lnx = 1.94591 + -1.38629

Reorder the terms:
1.38629 + -1.38629 + 4ln + -1lnx = 1.94591 + -1.38629

Combine like terms: 1.38629 + -1.38629 = 0.00000
0.00000 + 4ln + -1lnx = 1.94591 + -1.38629
4ln + -1lnx = 1.94591 + -1.38629

Combine like terms: 1.94591 + -1.38629 = 0.55962
4ln + -1lnx = 0.55962

Reorder the terms:
-0.55962 + 4ln + -1lnx = 0.55962 + -0.55962

Combine like terms: 0.55962 + -0.55962 = 0.00000
-0.55962 + 4ln + -1lnx = 0.00000

The solution to this equation could not be determined.

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