log[5](x+4)-1=log[5](x+8)

Solution for log[5](x+4)-1=log[5](x+8) equation:

Simplifying
log[5](x + 4) + -1 = log[5](x + 8)

Reorder the terms:
glo * 5(4 + x) + -1 = log[5](x + 8)

Reorder the terms for easier multiplication:
5glo(4 + x) + -1 = log[5](x + 8)
(4 * 5glo + x * 5glo) + -1 = log[5](x + 8)
(20glo + 5glox) + -1 = log[5](x + 8)

Reorder the terms:
-1 + 20glo + 5glox = log[5](x + 8)

Reorder the terms:
-1 + 20glo + 5glox = glo * 5(8 + x)

Reorder the terms for easier multiplication:
-1 + 20glo + 5glox = 5glo(8 + x)
-1 + 20glo + 5glox = (8 * 5glo + x * 5glo)
-1 + 20glo + 5glox = (40glo + 5glox)

Add '-5glox' to each side of the equation.
-1 + 20glo + 5glox + -5glox = 40glo + 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-1 + 20glo + 0 = 40glo + 5glox + -5glox
-1 + 20glo = 40glo + 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-1 + 20glo = 40glo + 0
-1 + 20glo = 40glo

Solving
-1 + 20glo = 40glo

Solving for variable 'g'.

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

Add '-40glo' to each side of the equation.
-1 + 20glo + -40glo = 40glo + -40glo

Combine like terms: 20glo + -40glo = -20glo
-1 + -20glo = 40glo + -40glo

Combine like terms: 40glo + -40glo = 0
-1 + -20glo = 0

Add '1' to each side of the equation.
-1 + 1 + -20glo = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -20glo = 0 + 1
-20glo = 0 + 1

Combine like terms: 0 + 1 = 1
-20glo = 1

Divide each side by '-20lo'.
g = -0.05l-1o-1

Simplifying
g = -0.05l-1o-1