lnx=(x+6)-ln(x-4)

Solution for lnx=(x+6)-ln(x-4) equation:

Simplifying
lnx = (x + 6) + -1ln(x + -4)

Reorder the terms:
lnx = (6 + x) + -1ln(x + -4)

Remove parenthesis around (6 + x)
lnx = 6 + x + -1ln(x + -4)

Reorder the terms:
lnx = 6 + x + -1ln(-4 + x)
lnx = 6 + x + (-4 * -1ln + x * -1ln)
lnx = 6 + x + (4ln + -1lnx)

Reorder the terms:
lnx = 6 + 4ln + -1lnx + x

Solving
lnx = 6 + 4ln + -1lnx + x

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.
-4ln + lnx = 6 + 4ln + -1lnx + -4ln + x

Reorder the terms:
-4ln + lnx = 6 + 4ln + -4ln + -1lnx + x

Combine like terms: 4ln + -4ln = 0
-4ln + lnx = 6 + 0 + -1lnx + x
-4ln + lnx = 6 + -1lnx + x

Add 'lnx' to each side of the equation.
-4ln + lnx + lnx = 6 + -1lnx + lnx + x

Combine like terms: lnx + lnx = 2lnx
-4ln + 2lnx = 6 + -1lnx + lnx + x

Combine like terms: -1lnx + lnx = 0
-4ln + 2lnx = 6 + 0 + x
-4ln + 2lnx = 6 + x

Reorder the terms:
-6 + -4ln + 2lnx + -1x = 6 + x + -6 + -1x

Reorder the terms:
-6 + -4ln + 2lnx + -1x = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
-6 + -4ln + 2lnx + -1x = 0 + x + -1x
-6 + -4ln + 2lnx + -1x = x + -1x

Combine like terms: x + -1x = 0
-6 + -4ln + 2lnx + -1x = 0

The solution to this equation could not be determined.