log(x+3)-log(x+4)=log(x-7)-log(x-4)

Solution for log(x+3)-log(x+4)=log(x-7)-log(x-4) equation:

Simplifying
log(x + 3) + -1log(x + 4) = log(x + -7) + -1log(x + -4)

Reorder the terms:
glo(3 + x) + -1log(x + 4) = log(x + -7) + -1log(x + -4)
(3 * glo + x * glo) + -1log(x + 4) = log(x + -7) + -1log(x + -4)
(3glo + glox) + -1log(x + 4) = log(x + -7) + -1log(x + -4)

Reorder the terms:
3glo + glox + -1glo(4 + x) = log(x + -7) + -1log(x + -4)
3glo + glox + (4 * -1glo + x * -1glo) = log(x + -7) + -1log(x + -4)
3glo + glox + (-4glo + -1glox) = log(x + -7) + -1log(x + -4)

Reorder the terms:
3glo + -4glo + glox + -1glox = log(x + -7) + -1log(x + -4)

Combine like terms: 3glo + -4glo = -1glo
-1glo + glox + -1glox = log(x + -7) + -1log(x + -4)

Combine like terms: glox + -1glox = 0
-1glo + 0 = log(x + -7) + -1log(x + -4)
-1glo = log(x + -7) + -1log(x + -4)

Reorder the terms:
-1glo = glo(-7 + x) + -1log(x + -4)
-1glo = (-7 * glo + x * glo) + -1log(x + -4)
-1glo = (-7glo + glox) + -1log(x + -4)

Reorder the terms:
-1glo = -7glo + glox + -1glo(-4 + x)
-1glo = -7glo + glox + (-4 * -1glo + x * -1glo)
-1glo = -7glo + glox + (4glo + -1glox)

Reorder the terms:
-1glo = -7glo + 4glo + glox + -1glox

Combine like terms: -7glo + 4glo = -3glo
-1glo = -3glo + glox + -1glox

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

Solving
-1glo = -3glo

Solving for variable 'g'.

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

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

Combine like terms: -1glo + 3glo = 2glo
2glo = -3glo + 3glo

Combine like terms: -3glo + 3glo = 0
2glo = 0

Divide each side by '2'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.