0.5*lg*(2x-1)-1=lg*0.3

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Solution for 0.5*lg*(2x-1)-1=lg*0.3 equation:


Simplifying
0.5lg(2x + -1) + -1 = lg * 0.3

Reorder the terms:
0.5gl(-1 + 2x) + -1 = lg * 0.3
(-1 * 0.5gl + 2x * 0.5gl) + -1 = lg * 0.3
(-0.5gl + 1glx) + -1 = lg * 0.3

Reorder the terms:
-1 + -0.5gl + 1glx = lg * 0.3

Reorder the terms for easier multiplication:
-1 + -0.5gl + 1glx = 0.3gl

Solving
-1 + -0.5gl + 1glx = 0.3gl

Solving for variable 'g'.

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

Add '-0.3gl' to each side of the equation.
-1 + -0.5gl + -0.3gl + 1glx = 0.3gl + -0.3gl

Combine like terms: -0.5gl + -0.3gl = -0.8gl
-1 + -0.8gl + 1glx = 0.3gl + -0.3gl

Combine like terms: 0.3gl + -0.3gl = 0.0
-1 + -0.8gl + 1glx = 0.0

Add '1' to each side of the equation.
-1 + -0.8gl + 1 + 1glx = 0.0 + 1

Reorder the terms:
-1 + 1 + -0.8gl + 1glx = 0.0 + 1

Combine like terms: -1 + 1 = 0
0 + -0.8gl + 1glx = 0.0 + 1
-0.8gl + 1glx = 0.0 + 1

Combine like terms: 0.0 + 1 = 1
-0.8gl + 1glx = 1

Reorder the terms:
-1 + -0.8gl + 1glx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -0.8gl + 1glx = 0

The solution to this equation could not be determined.

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