log(9)*3-x=log(9)*5x-15

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Solution for log(9)*3-x=log(9)*5x-15 equation:


Simplifying
log(9) * 3 + -1x = log(9) * 5x + -15

Reorder the terms for easier multiplication:
9 * 3glo + -1x = log(9) * 5x + -15

Multiply 9 * 3
27glo + -1x = log(9) * 5x + -15

Reorder the terms for easier multiplication:
27glo + -1x = 9 * 5glo * x + -15

Multiply 9 * 5
27glo + -1x = 45glo * x + -15

Multiply glo * x
27glo + -1x = 45glox + -15

Reorder the terms:
27glo + -1x = -15 + 45glox

Solving
27glo + -1x = -15 + 45glox

Solving for variable 'g'.

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

Add '-45glox' to each side of the equation.
27glo + -45glox + -1x = -15 + 45glox + -45glox

Combine like terms: 45glox + -45glox = 0
27glo + -45glox + -1x = -15 + 0
27glo + -45glox + -1x = -15

Add 'x' to each side of the equation.
27glo + -45glox + -1x + x = -15 + x

Combine like terms: -1x + x = 0
27glo + -45glox + 0 = -15 + x
27glo + -45glox = -15 + x

Reorder the terms:
15 + 27glo + -45glox + -1x = -15 + x + 15 + -1x

Reorder the terms:
15 + 27glo + -45glox + -1x = -15 + 15 + x + -1x

Combine like terms: -15 + 15 = 0
15 + 27glo + -45glox + -1x = 0 + x + -1x
15 + 27glo + -45glox + -1x = x + -1x

Combine like terms: x + -1x = 0
15 + 27glo + -45glox + -1x = 0

The solution to this equation could not be determined.

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