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

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


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

Reorder the terms for easier multiplication:
glo * x(1 + -1x) + x = 3

Multiply glo * x
glox(1 + -1x) + x = 3
(1 * glox + -1x * glox) + x = 3
(1glox + -1glox2) + x = 3

Solving
1glox + -1glox2 + x = 3

Solving for variable 'g'.

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

Add '-1x' to each side of the equation.
1glox + -1glox2 + x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
1glox + -1glox2 + 0 = 3 + -1x
1glox + -1glox2 = 3 + -1x

Reorder the terms:
-3 + 1glox + -1glox2 + x = 3 + -1x + -3 + x

Reorder the terms:
-3 + 1glox + -1glox2 + x = 3 + -3 + -1x + x

Combine like terms: 3 + -3 = 0
-3 + 1glox + -1glox2 + x = 0 + -1x + x
-3 + 1glox + -1glox2 + x = -1x + x

Combine like terms: -1x + x = 0
-3 + 1glox + -1glox2 + x = 0

The solution to this equation could not be determined.

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