log(x-1)-log(x+6)=log(x-2)-log(x+3)

Solution for log(x-1)-log(x+6)=log(x-2)-log(x+3) equation:

Simplifying
log(x + -1) + -1log(x + 6) = log(x + -2) + -1log(x + 3)

Reorder the terms:
glo(-1 + x) + -1log(x + 6) = log(x + -2) + -1log(x + 3)
(-1 * glo + x * glo) + -1log(x + 6) = log(x + -2) + -1log(x + 3)
(-1glo + glox) + -1log(x + 6) = log(x + -2) + -1log(x + 3)

Reorder the terms:
-1glo + glox + -1glo(6 + x) = log(x + -2) + -1log(x + 3)
-1glo + glox + (6 * -1glo + x * -1glo) = log(x + -2) + -1log(x + 3)
-1glo + glox + (-6glo + -1glox) = log(x + -2) + -1log(x + 3)

Reorder the terms:
-1glo + -6glo + glox + -1glox = log(x + -2) + -1log(x + 3)

Combine like terms: -1glo + -6glo = -7glo
-7glo + glox + -1glox = log(x + -2) + -1log(x + 3)

Combine like terms: glox + -1glox = 0
-7glo + 0 = log(x + -2) + -1log(x + 3)
-7glo = log(x + -2) + -1log(x + 3)

Reorder the terms:
-7glo = glo(-2 + x) + -1log(x + 3)
-7glo = (-2 * glo + x * glo) + -1log(x + 3)
-7glo = (-2glo + glox) + -1log(x + 3)

Reorder the terms:
-7glo = -2glo + glox + -1glo(3 + x)
-7glo = -2glo + glox + (3 * -1glo + x * -1glo)
-7glo = -2glo + glox + (-3glo + -1glox)

Reorder the terms:
-7glo = -2glo + -3glo + glox + -1glox

Combine like terms: -2glo + -3glo = -5glo
-7glo = -5glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-7glo = -5glo + 0
-7glo = -5glo

Solving
-7glo = -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.
-7glo + 5glo = -5glo + 5glo

Combine like terms: -7glo + 5glo = -2glo
-2glo = -5glo + 5glo

Combine like terms: -5glo + 5glo = 0
-2glo = 0

Divide each side by '-2'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.