log(6)(x+3)=-log(6)(x-2)+1

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Solution for log(6)(x+3)=-log(6)(x-2)+1 equation: 


Simplifying
log(6)(x + 3) = -1log(6)(x + -2) + 1

Reorder the terms:
glo * 6(3 + x) = -1log(6)(x + -2) + 1

Reorder the terms for easier multiplication:
6glo(3 + x) = -1log(6)(x + -2) + 1
(3 * 6glo + x * 6glo) = -1log(6)(x + -2) + 1
(18glo + 6glox) = -1log(6)(x + -2) + 1

Reorder the terms:
18glo + 6glox = -1glo * 6(-2 + x) + 1

Reorder the terms for easier multiplication:
18glo + 6glox = -1 * 6glo(-2 + x) + 1

Multiply -1 * 6
18glo + 6glox = -6glo(-2 + x) + 1
18glo + 6glox = (-2 * -6glo + x * -6glo) + 1
18glo + 6glox = (12glo + -6glox) + 1

Reorder the terms:
18glo + 6glox = 1 + 12glo + -6glox

Solving
18glo + 6glox = 1 + 12glo + -6glox

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
18glo + -12glo + 6glox = 1 + 12glo + -12glo + -6glox

Combine like terms: 18glo + -12glo = 6glo
6glo + 6glox = 1 + 12glo + -12glo + -6glox

Combine like terms: 12glo + -12glo = 0
6glo + 6glox = 1 + 0 + -6glox
6glo + 6glox = 1 + -6glox

Add '6glox' to each side of the equation.
6glo + 6glox + 6glox = 1 + -6glox + 6glox

Combine like terms: 6glox + 6glox = 12glox
6glo + 12glox = 1 + -6glox + 6glox

Combine like terms: -6glox + 6glox = 0
6glo + 12glox = 1 + 0
6glo + 12glox = 1

Reorder the terms:
-1 + 6glo + 12glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6glo + 12glox = 0

The solution to this equation could not be determined.

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