lg(x+1)-lg(x-1)=1-(2x-10)

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Solution for lg(x+1)-lg(x-1)=1-(2x-10) equation: 


Simplifying
lg(x + 1) + -1lg(x + -1) = 1 + -1(2x + -10)

Reorder the terms:
gl(1 + x) + -1lg(x + -1) = 1 + -1(2x + -10)
(1 * gl + x * gl) + -1lg(x + -1) = 1 + -1(2x + -10)
(1gl + glx) + -1lg(x + -1) = 1 + -1(2x + -10)

Reorder the terms:
1gl + glx + -1gl(-1 + x) = 1 + -1(2x + -10)
1gl + glx + (-1 * -1gl + x * -1gl) = 1 + -1(2x + -10)
1gl + glx + (1gl + -1glx) = 1 + -1(2x + -10)

Reorder the terms:
1gl + 1gl + glx + -1glx = 1 + -1(2x + -10)

Combine like terms: 1gl + 1gl = 2gl
2gl + glx + -1glx = 1 + -1(2x + -10)

Combine like terms: glx + -1glx = 0
2gl + 0 = 1 + -1(2x + -10)
2gl = 1 + -1(2x + -10)

Reorder the terms:
2gl = 1 + -1(-10 + 2x)
2gl = 1 + (-10 * -1 + 2x * -1)
2gl = 1 + (10 + -2x)

Combine like terms: 1 + 10 = 11
2gl = 11 + -2x

Solving
2gl = 11 + -2x

Solving for variable 'g'.

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

Divide each side by '2l'.
g = 5.5l-1 + -1l-1x

Simplifying
g = 5.5l-1 + -1l-1x

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