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

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

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

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

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

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

Solving
1 + -20glo + -5glox = 40glo + 5glox

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 + -5glox = 40glo + -40glo + 5glox

Combine like terms: -20glo + -40glo = -60glo
1 + -60glo + -5glox = 40glo + -40glo + 5glox

Combine like terms: 40glo + -40glo = 0
1 + -60glo + -5glox = 0 + 5glox
1 + -60glo + -5glox = 5glox

Add '-5glox' to each side of the equation.
1 + -60glo + -5glox + -5glox = 5glox + -5glox

Combine like terms: -5glox + -5glox = -10glox
1 + -60glo + -10glox = 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
1 + -60glo + -10glox = 0

Add '-1' to each side of the equation.
1 + -60glo + -1 + -10glox = 0 + -1

Reorder the terms:
1 + -1 + -60glo + -10glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -60glo + -10glox = 0 + -1
-60glo + -10glox = 0 + -1

Combine like terms: 0 + -1 = -1
-60glo + -10glox = -1

Reorder the terms:
1 + -60glo + -10glox = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -60glo + -10glox = 0

The solution to this equation could not be determined.