lg(2x-2)-lg(x-5)=0

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Solution for lg(2x-2)-lg(x-5)=0 equation: 


Simplifying
lg(2x + -2) + -1lg(x + -5) = 0

Reorder the terms:
gl(-2 + 2x) + -1lg(x + -5) = 0
(-2 * gl + 2x * gl) + -1lg(x + -5) = 0
(-2gl + 2glx) + -1lg(x + -5) = 0

Reorder the terms:
-2gl + 2glx + -1gl(-5 + x) = 0
-2gl + 2glx + (-5 * -1gl + x * -1gl) = 0
-2gl + 2glx + (5gl + -1glx) = 0

Reorder the terms:
-2gl + 5gl + 2glx + -1glx = 0

Combine like terms: -2gl + 5gl = 3gl
3gl + 2glx + -1glx = 0

Combine like terms: 2glx + -1glx = 1glx
3gl + 1glx = 0

Solving
3gl + 1glx = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(3 + x) = 0


Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve:

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

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

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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