log(2)(x-3)-log(2)(x+9)=-2

Solution for log(2)(x-3)-log(2)(x+9)=-2 equation:

Simplifying
log(2)(x + -3) + -1log(2)(x + 9) = -2

Reorder the terms:
glo * 2(-3 + x) + -1log(2)(x + 9) = -2

Reorder the terms for easier multiplication:
2glo(-3 + x) + -1log(2)(x + 9) = -2
(-3 * 2glo + x * 2glo) + -1log(2)(x + 9) = -2
(-6glo + 2glox) + -1log(2)(x + 9) = -2

Reorder the terms:
-6glo + 2glox + -1glo * 2(9 + x) = -2

Reorder the terms for easier multiplication:
-6glo + 2glox + -1 * 2glo(9 + x) = -2

Multiply -1 * 2
-6glo + 2glox + -2glo(9 + x) = -2
-6glo + 2glox + (9 * -2glo + x * -2glo) = -2
-6glo + 2glox + (-18glo + -2glox) = -2

Reorder the terms:
-6glo + -18glo + 2glox + -2glox = -2

Combine like terms: -6glo + -18glo = -24glo
-24glo + 2glox + -2glox = -2

Combine like terms: 2glox + -2glox = 0
-24glo + 0 = -2
-24glo = -2

Solving
-24glo = -2

Solving for variable 'g'.

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

Divide each side by '-24lo'.
g = 0.08333333333l-1o-1

Simplifying
g = 0.08333333333l-1o-1