ln(x-2)-ln(x+11)=ln(x-1)-ln(x+12)

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Solution for ln(x-2)-ln(x+11)=ln(x-1)-ln(x+12) equation: 


Simplifying
ln(x + -2) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 12)

Reorder the terms:
ln(-2 + x) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 12)
(-2 * ln + x * ln) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 12)
(-2ln + lnx) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 12)

Reorder the terms:
-2ln + lnx + -1ln(11 + x) = ln(x + -1) + -1ln(x + 12)
-2ln + lnx + (11 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 12)
-2ln + lnx + (-11ln + -1lnx) = ln(x + -1) + -1ln(x + 12)

Reorder the terms:
-2ln + -11ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 12)

Combine like terms: -2ln + -11ln = -13ln
-13ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 12)

Combine like terms: lnx + -1lnx = 0
-13ln + 0 = ln(x + -1) + -1ln(x + 12)
-13ln = ln(x + -1) + -1ln(x + 12)

Reorder the terms:
-13ln = ln(-1 + x) + -1ln(x + 12)
-13ln = (-1 * ln + x * ln) + -1ln(x + 12)
-13ln = (-1ln + lnx) + -1ln(x + 12)

Reorder the terms:
-13ln = -1ln + lnx + -1ln(12 + x)
-13ln = -1ln + lnx + (12 * -1ln + x * -1ln)
-13ln = -1ln + lnx + (-12ln + -1lnx)

Reorder the terms:
-13ln = -1ln + -12ln + lnx + -1lnx

Combine like terms: -1ln + -12ln = -13ln
-13ln = -13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-13ln = -13ln + 0
-13ln = -13ln

Add '13ln' to each side of the equation.
-13ln + 13ln = -13ln + 13ln

Combine like terms: -13ln + 13ln = 0
0 = -13ln + 13ln

Combine like terms: -13ln + 13ln = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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