log(x+3)-4=log(x-5)

Solution for log(x+3)-4=log(x-5) equation:

Simplifying
log(x + 3) + -4 = log(x + -5)

Reorder the terms:
glo(3 + x) + -4 = log(x + -5)
(3 * glo + x * glo) + -4 = log(x + -5)
(3glo + glox) + -4 = log(x + -5)

Reorder the terms:
-4 + 3glo + glox = log(x + -5)

Reorder the terms:
-4 + 3glo + glox = glo(-5 + x)
-4 + 3glo + glox = (-5 * glo + x * glo)
-4 + 3glo + glox = (-5glo + glox)

Add '-1glox' to each side of the equation.
-4 + 3glo + glox + -1glox = -5glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-4 + 3glo + 0 = -5glo + glox + -1glox
-4 + 3glo = -5glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-4 + 3glo = -5glo + 0
-4 + 3glo = -5glo

Solving
-4 + 3glo = -5glo

Solving for variable 'g'.

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

Add '5glo' to each side of the equation.
-4 + 3glo + 5glo = -5glo + 5glo

Combine like terms: 3glo + 5glo = 8glo
-4 + 8glo = -5glo + 5glo

Combine like terms: -5glo + 5glo = 0
-4 + 8glo = 0

Add '4' to each side of the equation.
-4 + 4 + 8glo = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8glo = 0 + 4
8glo = 0 + 4

Combine like terms: 0 + 4 = 4
8glo = 4

Divide each side by '8lo'.
g = 0.5l-1o-1

Simplifying
g = 0.5l-1o-1