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

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

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

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

Reorder the terms:
6glo + 3glox + -2glo(3 + 2x) = 1
6glo + 3glox + (3 * -2glo + 2x * -2glo) = 1
6glo + 3glox + (-6glo + -4glox) = 1

Reorder the terms:
6glo + -6glo + 3glox + -4glox = 1

Combine like terms: 6glo + -6glo = 0
0 + 3glox + -4glox = 1
3glox + -4glox = 1

Combine like terms: 3glox + -4glox = -1glox
-1glox = 1

Solving
-1glox = 1

Solving for variable 'g'.

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

Divide each side by '-1lox'.
g = -1l-1o-1x-1

Simplifying
g = -1l-1o-1x-1