Log(2)(14-6x)=2log(2)(x-1)+1

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Solution for Log(2)(14-6x)=2log(2)(x-1)+1 equation: 


Simplifying
Log(2)(14 + -6x) = 2log(2)(x + -1) + 1

Reorder the terms for easier multiplication:
2goL(14 + -6x) = 2log(2)(x + -1) + 1
(14 * 2goL + -6x * 2goL) = 2log(2)(x + -1) + 1
(28goL + -12goxL) = 2log(2)(x + -1) + 1

Reorder the terms:
28goL + -12goxL = 2glo * 2(-1 + x) + 1

Reorder the terms for easier multiplication:
28goL + -12goxL = 2 * 2glo(-1 + x) + 1

Multiply 2 * 2
28goL + -12goxL = 4glo(-1 + x) + 1
28goL + -12goxL = (-1 * 4glo + x * 4glo) + 1
28goL + -12goxL = (-4glo + 4glox) + 1

Reorder the terms:
28goL + -12goxL = 1 + -4glo + 4glox

Solving
28goL + -12goxL = 1 + -4glo + 4glox

Solving for variable 'g'.

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

Add '4glo' to each side of the equation.
28goL + 4glo + -12goxL = 1 + -4glo + 4glo + 4glox

Reorder the terms:
4glo + 28goL + -12goxL = 1 + -4glo + 4glo + 4glox

Combine like terms: -4glo + 4glo = 0
4glo + 28goL + -12goxL = 1 + 0 + 4glox
4glo + 28goL + -12goxL = 1 + 4glox

Add '-4glox' to each side of the equation.
4glo + 28goL + -4glox + -12goxL = 1 + 4glox + -4glox

Reorder the terms:
4glo + -4glox + 28goL + -12goxL = 1 + 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
4glo + -4glox + 28goL + -12goxL = 1 + 0
4glo + -4glox + 28goL + -12goxL = 1

Reorder the terms:
-1 + 4glo + -4glox + 28goL + -12goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 4glo + -4glox + 28goL + -12goxL = 0

The solution to this equation could not be determined.

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