lg(x+4)-lg(x-5)=1

Solution for lg(x+4)-lg(x-5)=1 equation:

Simplifying
lg(x + 4) + -1lg(x + -5) = 1

Reorder the terms:
gl(4 + x) + -1lg(x + -5) = 1
(4 * gl + x * gl) + -1lg(x + -5) = 1
(4gl + glx) + -1lg(x + -5) = 1

Reorder the terms:
4gl + glx + -1gl(-5 + x) = 1
4gl + glx + (-5 * -1gl + x * -1gl) = 1
4gl + glx + (5gl + -1glx) = 1

Reorder the terms:
4gl + 5gl + glx + -1glx = 1

Combine like terms: 4gl + 5gl = 9gl
9gl + glx + -1glx = 1

Combine like terms: glx + -1glx = 0
9gl + 0 = 1
9gl = 1

Solving
9gl = 1

Solving for variable 'g'.

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

Divide each side by '9l'.
g = 0.1111111111l-1

Simplifying
g = 0.1111111111l-1