log(3)(5x-5)-log(3)(x+2)=1

Solution for log(3)(5x-5)-log(3)(x+2)=1 equation:

Simplifying
log(3)(5x + -5) + -1log(3)(x + 2) = 1

Reorder the terms:
glo * 3(-5 + 5x) + -1log(3)(x + 2) = 1

Reorder the terms for easier multiplication:
3glo(-5 + 5x) + -1log(3)(x + 2) = 1
(-5 * 3glo + 5x * 3glo) + -1log(3)(x + 2) = 1
(-15glo + 15glox) + -1log(3)(x + 2) = 1

Reorder the terms:
-15glo + 15glox + -1glo * 3(2 + x) = 1

Reorder the terms for easier multiplication:
-15glo + 15glox + -1 * 3glo(2 + x) = 1

Multiply -1 * 3
-15glo + 15glox + -3glo(2 + x) = 1
-15glo + 15glox + (2 * -3glo + x * -3glo) = 1
-15glo + 15glox + (-6glo + -3glox) = 1

Reorder the terms:
-15glo + -6glo + 15glox + -3glox = 1

Combine like terms: -15glo + -6glo = -21glo
-21glo + 15glox + -3glox = 1

Combine like terms: 15glox + -3glox = 12glox
-21glo + 12glox = 1

Solving
-21glo + 12glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -21glo + 12glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -21glo + 12glox = 0

The solution to this equation could not be determined.