log(9)-11x+2=log(9)x*2+30

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Solution for log(9)-11x+2=log(9)x*2+30 equation:


Simplifying
log(9) + -11x + 2 = log(9) * x * 2 + 30

Reorder the terms for easier multiplication:
9glo + -11x + 2 = log(9) * x * 2 + 30

Reorder the terms:
2 + 9glo + -11x = log(9) * x * 2 + 30

Reorder the terms for easier multiplication:
2 + 9glo + -11x = 9 * 2glo * x + 30

Multiply 9 * 2
2 + 9glo + -11x = 18glo * x + 30

Multiply glo * x
2 + 9glo + -11x = 18glox + 30

Reorder the terms:
2 + 9glo + -11x = 30 + 18glox

Solving
2 + 9glo + -11x = 30 + 18glox

Solving for variable 'g'.

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

Add '-18glox' to each side of the equation.
2 + 9glo + -18glox + -11x = 30 + 18glox + -18glox

Combine like terms: 18glox + -18glox = 0
2 + 9glo + -18glox + -11x = 30 + 0
2 + 9glo + -18glox + -11x = 30

Add '-2' to each side of the equation.
2 + 9glo + -18glox + -2 + -11x = 30 + -2

Reorder the terms:
2 + -2 + 9glo + -18glox + -11x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 9glo + -18glox + -11x = 30 + -2
9glo + -18glox + -11x = 30 + -2

Combine like terms: 30 + -2 = 28
9glo + -18glox + -11x = 28

Add '11x' to each side of the equation.
9glo + -18glox + -11x + 11x = 28 + 11x

Combine like terms: -11x + 11x = 0
9glo + -18glox + 0 = 28 + 11x
9glo + -18glox = 28 + 11x

Reorder the terms:
-28 + 9glo + -18glox + -11x = 28 + 11x + -28 + -11x

Reorder the terms:
-28 + 9glo + -18glox + -11x = 28 + -28 + 11x + -11x

Combine like terms: 28 + -28 = 0
-28 + 9glo + -18glox + -11x = 0 + 11x + -11x
-28 + 9glo + -18glox + -11x = 11x + -11x

Combine like terms: 11x + -11x = 0
-28 + 9glo + -18glox + -11x = 0

The solution to this equation could not be determined.

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