ln(x+2)-ln(x-3)=ln(x+1)-ln(x+4)

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Solution for ln(x+2)-ln(x-3)=ln(x+1)-ln(x+4) equation: 


Simplifying
ln(x + 2) + -1ln(x + -3) = ln(x + 1) + -1ln(x + 4)

Reorder the terms:
ln(2 + x) + -1ln(x + -3) = ln(x + 1) + -1ln(x + 4)
(2 * ln + x * ln) + -1ln(x + -3) = ln(x + 1) + -1ln(x + 4)
(2ln + lnx) + -1ln(x + -3) = ln(x + 1) + -1ln(x + 4)

Reorder the terms:
2ln + lnx + -1ln(-3 + x) = ln(x + 1) + -1ln(x + 4)
2ln + lnx + (-3 * -1ln + x * -1ln) = ln(x + 1) + -1ln(x + 4)
2ln + lnx + (3ln + -1lnx) = ln(x + 1) + -1ln(x + 4)

Reorder the terms:
2ln + 3ln + lnx + -1lnx = ln(x + 1) + -1ln(x + 4)

Combine like terms: 2ln + 3ln = 5ln
5ln + lnx + -1lnx = ln(x + 1) + -1ln(x + 4)

Combine like terms: lnx + -1lnx = 0
5ln + 0 = ln(x + 1) + -1ln(x + 4)
5ln = ln(x + 1) + -1ln(x + 4)

Reorder the terms:
5ln = ln(1 + x) + -1ln(x + 4)
5ln = (1 * ln + x * ln) + -1ln(x + 4)
5ln = (1ln + lnx) + -1ln(x + 4)

Reorder the terms:
5ln = 1ln + lnx + -1ln(4 + x)
5ln = 1ln + lnx + (4 * -1ln + x * -1ln)
5ln = 1ln + lnx + (-4ln + -1lnx)

Reorder the terms:
5ln = 1ln + -4ln + lnx + -1lnx

Combine like terms: 1ln + -4ln = -3ln
5ln = -3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
5ln = -3ln + 0
5ln = -3ln

Solving
5ln = -3ln

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
5ln + 3ln = -3ln + 3ln

Combine like terms: 5ln + 3ln = 8ln
8ln = -3ln + 3ln

Combine like terms: -3ln + 3ln = 0
8ln = 0

Divide each side by '8'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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