11+ln(29x)=19-2ln(x)

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Solution for 11+ln(29x)=19-2ln(x) equation: 


Simplifying
11 + ln(29x) = 19 + -2ln(x)

Remove parenthesis around (29x)
11 + ln * 29x = 19 + -2ln(x)

Reorder the terms for easier multiplication:
11 + 29ln * x = 19 + -2ln(x)

Multiply ln * x
11 + 29lnx = 19 + -2ln(x)

Multiply ln * x
11 + 29lnx = 19 + -2lnx

Solving
11 + 29lnx = 19 + -2lnx

Solving for variable 'l'.

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

Add '2lnx' to each side of the equation.
11 + 29lnx + 2lnx = 19 + -2lnx + 2lnx

Combine like terms: 29lnx + 2lnx = 31lnx
11 + 31lnx = 19 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
11 + 31lnx = 19 + 0
11 + 31lnx = 19

Add '-11' to each side of the equation.
11 + -11 + 31lnx = 19 + -11

Combine like terms: 11 + -11 = 0
0 + 31lnx = 19 + -11
31lnx = 19 + -11

Combine like terms: 19 + -11 = 8
31lnx = 8

Divide each side by '31nx'.
l = 0.2580645161n-1x-1

Simplifying
l = 0.2580645161n-1x-1

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