Ln(x+12)-ln(x-5)=(3x)

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Solution for Ln(x+12)-ln(x-5)=(3x) equation: 


Simplifying
Ln(x + 12) + -1ln(x + -5) = (3x)

Reorder the terms:
nL(12 + x) + -1ln(x + -5) = (3x)
(12 * nL + x * nL) + -1ln(x + -5) = (3x)
(12nL + nxL) + -1ln(x + -5) = (3x)

Reorder the terms:
12nL + nxL + -1ln(-5 + x) = (3x)
12nL + nxL + (-5 * -1ln + x * -1ln) = (3x)
12nL + nxL + (5ln + -1lnx) = (3x)

Reorder the terms:
5ln + -1lnx + 12nL + nxL = (3x)

Solving
5ln + -1lnx + 12nL + nxL = (3x)

Solving for variable 'l'.

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

Add '-12nL' to each side of the equation.
5ln + -1lnx + 12nL + -12nL + nxL = -12nL + (3x)

Combine like terms: 12nL + -12nL = 0
5ln + -1lnx + 0 + nxL = -12nL + (3x)
5ln + -1lnx + nxL = -12nL + (3x)

Add '-1nxL' to each side of the equation.
5ln + -1lnx + nxL + -1nxL = -12nL + -1nxL + (3x)

Combine like terms: nxL + -1nxL = 0
5ln + -1lnx + 0 = -12nL + -1nxL + (3x)
5ln + -1lnx = -12nL + -1nxL + (3x)

Reorder the terms:
5ln + -1lnx + 12nL + nxL + (-3x) = -12nL + 12nL + -1nxL + nxL + (3x) + (-3x)

Combine like terms: -12nL + 12nL = 0
5ln + -1lnx + 12nL + nxL + (-3x) = 0 + -1nxL + nxL + (3x) + (-3x)
5ln + -1lnx + 12nL + nxL + (-3x) = -1nxL + nxL + (3x) + (-3x)

Combine like terms: -1nxL + nxL = 0
5ln + -1lnx + 12nL + nxL + (-3x) = 0 + (3x) + (-3x)
5ln + -1lnx + 12nL + nxL + (-3x) = (3x) + (-3x)

Combine like terms: (3x) + (-3x) = 0
5ln + -1lnx + 12nL + nxL + (-3x) = 0

The solution to this equation could not be determined.

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