ln(x+1)+6=ln(2x-4)+7

Solution for ln(x+1)+6=ln(2x-4)+7 equation:

Simplifying
ln(x + 1) + 6 = ln(2x + -4) + 7

Reorder the terms:
ln(1 + x) + 6 = ln(2x + -4) + 7
(1 * ln + x * ln) + 6 = ln(2x + -4) + 7
(1ln + lnx) + 6 = ln(2x + -4) + 7

Reorder the terms:
6 + 1ln + lnx = ln(2x + -4) + 7

Reorder the terms:
6 + 1ln + lnx = ln(-4 + 2x) + 7
6 + 1ln + lnx = (-4 * ln + 2x * ln) + 7
6 + 1ln + lnx = (-4ln + 2lnx) + 7

Reorder the terms:
6 + 1ln + lnx = 7 + -4ln + 2lnx

Solving
6 + 1ln + lnx = 7 + -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.
6 + 1ln + 4ln + lnx = 7 + -4ln + 4ln + 2lnx

Combine like terms: 1ln + 4ln = 5ln
6 + 5ln + lnx = 7 + -4ln + 4ln + 2lnx

Combine like terms: -4ln + 4ln = 0
6 + 5ln + lnx = 7 + 0 + 2lnx
6 + 5ln + lnx = 7 + 2lnx

Add '-2lnx' to each side of the equation.
6 + 5ln + lnx + -2lnx = 7 + 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
6 + 5ln + -1lnx = 7 + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6 + 5ln + -1lnx = 7 + 0
6 + 5ln + -1lnx = 7

Add '-6' to each side of the equation.
6 + 5ln + -6 + -1lnx = 7 + -6

Reorder the terms:
6 + -6 + 5ln + -1lnx = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 5ln + -1lnx = 7 + -6
5ln + -1lnx = 7 + -6

Combine like terms: 7 + -6 = 1
5ln + -1lnx = 1

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

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

The solution to this equation could not be determined.