3log(x+2)+3=3log(x-4)+3log(x+6)

Solution for 3log(x+2)+3=3log(x-4)+3log(x+6) equation:

Simplifying
3log(x + 2) + 3 = 3log(x + -4) + 3log(x + 6)

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

Reorder the terms:
3 + 6glo + 3glox = 3log(x + -4) + 3log(x + 6)

Reorder the terms:
3 + 6glo + 3glox = 3glo(-4 + x) + 3log(x + 6)
3 + 6glo + 3glox = (-4 * 3glo + x * 3glo) + 3log(x + 6)
3 + 6glo + 3glox = (-12glo + 3glox) + 3log(x + 6)

Reorder the terms:
3 + 6glo + 3glox = -12glo + 3glox + 3glo(6 + x)
3 + 6glo + 3glox = -12glo + 3glox + (6 * 3glo + x * 3glo)
3 + 6glo + 3glox = -12glo + 3glox + (18glo + 3glox)

Reorder the terms:
3 + 6glo + 3glox = -12glo + 18glo + 3glox + 3glox

Combine like terms: -12glo + 18glo = 6glo
3 + 6glo + 3glox = 6glo + 3glox + 3glox

Combine like terms: 3glox + 3glox = 6glox
3 + 6glo + 3glox = 6glo + 6glox

Add '-6glo' to each side of the equation.
3 + 6glo + -6glo + 3glox = 6glo + -6glo + 6glox

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

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

Solving
3 + 3glox = 6glox

Solving for variable 'g'.

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

Add '-6glox' to each side of the equation.
3 + 3glox + -6glox = 6glox + -6glox

Combine like terms: 3glox + -6glox = -3glox
3 + -3glox = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
3 + -3glox = 0

Add '-3' to each side of the equation.
3 + -3 + -3glox = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3glox = 0 + -3
-3glox = 0 + -3

Combine like terms: 0 + -3 = -3
-3glox = -3

Divide each side by '-3lox'.
g = l-1o-1x-1

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