2ln(x-5)=(x+5)+ln(9)

Solution for 2ln(x-5)=(x+5)+ln(9) equation:

Simplifying
2ln(x + -5) = (x + 5) + ln(9)

Reorder the terms:
2ln(-5 + x) = (x + 5) + ln(9)
(-5 * 2ln + x * 2ln) = (x + 5) + ln(9)
(-10ln + 2lnx) = (x + 5) + ln(9)

Reorder the terms:
-10ln + 2lnx = (5 + x) + ln(9)

Remove parenthesis around (5 + x)
-10ln + 2lnx = 5 + x + ln(9)

Reorder the terms for easier multiplication:
-10ln + 2lnx = 5 + x + 9ln

Reorder the terms:
-10ln + 2lnx = 5 + 9ln + x

Solving
-10ln + 2lnx = 5 + 9ln + x

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
-10ln + -9ln + 2lnx = 5 + 9ln + -9ln + x

Combine like terms: -10ln + -9ln = -19ln
-19ln + 2lnx = 5 + 9ln + -9ln + x

Combine like terms: 9ln + -9ln = 0
-19ln + 2lnx = 5 + 0 + x
-19ln + 2lnx = 5 + x

Reorder the terms:
-5 + -19ln + 2lnx + -1x = 5 + x + -5 + -1x

Reorder the terms:
-5 + -19ln + 2lnx + -1x = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + -19ln + 2lnx + -1x = 0 + x + -1x
-5 + -19ln + 2lnx + -1x = x + -1x

Combine like terms: x + -1x = 0
-5 + -19ln + 2lnx + -1x = 0

The solution to this equation could not be determined.