(x+6)-ln(x-5)=6

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Solution for (x+6)-ln(x-5)=6 equation:


Simplifying
(x + 6) + -1ln(x + -5) = 6

Reorder the terms:
(6 + x) + -1ln(x + -5) = 6

Remove parenthesis around (6 + x)
6 + x + -1ln(x + -5) = 6

Reorder the terms:
6 + x + -1ln(-5 + x) = 6
6 + x + (-5 * -1ln + x * -1ln) = 6
6 + x + (5ln + -1lnx) = 6

Reorder the terms:
6 + 5ln + -1lnx + x = 6

Add '-6' to each side of the equation.
6 + 5ln + -1lnx + -6 + x = 6 + -6

Reorder the terms:
6 + -6 + 5ln + -1lnx + x = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 5ln + -1lnx + x = 6 + -6
5ln + -1lnx + x = 6 + -6

Combine like terms: 6 + -6 = 0
5ln + -1lnx + x = 0

Solving
5ln + -1lnx + x = 0

Solving for variable 'l'.

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

Add '-1x' to each side of the equation.
5ln + -1lnx + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
5ln + -1lnx + 0 = 0 + -1x
5ln + -1lnx = 0 + -1x
Remove the zero:
5ln + -1lnx = -1x

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

The solution to this equation could not be determined.

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