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

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

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

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

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

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

Solving
-1 + 3glo + glox = 2glo + -1glox

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
-1 + 3glo + -2glo + glox = 2glo + -2glo + -1glox

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

Combine like terms: 2glo + -2glo = 0
-1 + 1glo + glox = 0 + -1glox
-1 + 1glo + glox = -1glox

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

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

Combine like terms: -1glox + glox = 0
-1 + 1glo + 2glox = 0

Add '1' to each side of the equation.
-1 + 1glo + 1 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + 1glo + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1glo + 2glox = 0 + 1
1glo + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
1glo + 2glox = 1

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

Combine like terms: 1 + -1 = 0
-1 + 1glo + 2glox = 0

The solution to this equation could not be determined.