ln(x-10)-ln(x+7)=ln(x-4)-ln(x+9)

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Solution for ln(x-10)-ln(x+7)=ln(x-4)-ln(x+9) equation: 


Simplifying
ln(x + -10) + -1ln(x + 7) = ln(x + -4) + -1ln(x + 9)

Reorder the terms:
ln(-10 + x) + -1ln(x + 7) = ln(x + -4) + -1ln(x + 9)
(-10 * ln + x * ln) + -1ln(x + 7) = ln(x + -4) + -1ln(x + 9)
(-10ln + lnx) + -1ln(x + 7) = ln(x + -4) + -1ln(x + 9)

Reorder the terms:
-10ln + lnx + -1ln(7 + x) = ln(x + -4) + -1ln(x + 9)
-10ln + lnx + (7 * -1ln + x * -1ln) = ln(x + -4) + -1ln(x + 9)
-10ln + lnx + (-7ln + -1lnx) = ln(x + -4) + -1ln(x + 9)

Reorder the terms:
-10ln + -7ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 9)

Combine like terms: -10ln + -7ln = -17ln
-17ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-17ln + 0 = ln(x + -4) + -1ln(x + 9)
-17ln = ln(x + -4) + -1ln(x + 9)

Reorder the terms:
-17ln = ln(-4 + x) + -1ln(x + 9)
-17ln = (-4 * ln + x * ln) + -1ln(x + 9)
-17ln = (-4ln + lnx) + -1ln(x + 9)

Reorder the terms:
-17ln = -4ln + lnx + -1ln(9 + x)
-17ln = -4ln + lnx + (9 * -1ln + x * -1ln)
-17ln = -4ln + lnx + (-9ln + -1lnx)

Reorder the terms:
-17ln = -4ln + -9ln + lnx + -1lnx

Combine like terms: -4ln + -9ln = -13ln
-17ln = -13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-17ln = -13ln + 0
-17ln = -13ln

Solving
-17ln = -13ln

Solving for variable 'l'.

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

Add '13ln' to each side of the equation.
-17ln + 13ln = -13ln + 13ln

Combine like terms: -17ln + 13ln = -4ln
-4ln = -13ln + 13ln

Combine like terms: -13ln + 13ln = 0
-4ln = 0

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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