2In(x-6)=Inx

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Solution for 2In(x-6)=Inx equation: 


Simplifying
2In(x + -6) = Inx

Reorder the terms:
2nI(-6 + x) = Inx
(-6 * 2nI + x * 2nI) = Inx
(-12nI + 2nxI) = Inx

Solving
-12nI + 2nxI = nxI

Solving for variable 'n'.

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

Add '-1nxI' to each side of the equation.
-12nI + 2nxI + -1nxI = nxI + -1nxI

Combine like terms: 2nxI + -1nxI = 1nxI
-12nI + 1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
-12nI + 1nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-12 + x) = 0


Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve:

Simplifying
nI = 0

Solving
nI = 0

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

Simplifying
nI = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Add '-1x' to each side of the equation.
x + -1x = 12 + -1x

Combine like terms: x + -1x = 0
0 = 12 + -1x

Simplifying
0 = 12 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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