log(10x+5)-3=log(x-5)

Solution for log(10x+5)-3=log(x-5) equation:

Simplifying
log(10x + 5) + -3 = log(x + -5)

Reorder the terms:
glo(5 + 10x) + -3 = log(x + -5)
(5 * glo + 10x * glo) + -3 = log(x + -5)
(5glo + 10glox) + -3 = log(x + -5)

Reorder the terms:
-3 + 5glo + 10glox = log(x + -5)

Reorder the terms:
-3 + 5glo + 10glox = glo(-5 + x)
-3 + 5glo + 10glox = (-5 * glo + x * glo)
-3 + 5glo + 10glox = (-5glo + glox)

Solving
-3 + 5glo + 10glox = -5glo + glox

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.
-3 + 5glo + 5glo + 10glox = -5glo + 5glo + glox

Combine like terms: 5glo + 5glo = 10glo
-3 + 10glo + 10glox = -5glo + 5glo + glox

Combine like terms: -5glo + 5glo = 0
-3 + 10glo + 10glox = 0 + glox
-3 + 10glo + 10glox = glox

Add '-1glox' to each side of the equation.
-3 + 10glo + 10glox + -1glox = glox + -1glox

Combine like terms: 10glox + -1glox = 9glox
-3 + 10glo + 9glox = glox + -1glox

Combine like terms: glox + -1glox = 0
-3 + 10glo + 9glox = 0

Add '3' to each side of the equation.
-3 + 10glo + 3 + 9glox = 0 + 3

Reorder the terms:
-3 + 3 + 10glo + 9glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10glo + 9glox = 0 + 3
10glo + 9glox = 0 + 3

Combine like terms: 0 + 3 = 3
10glo + 9glox = 3

Reorder the terms:
-3 + 10glo + 9glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 10glo + 9glox = 0

The solution to this equation could not be determined.