(5x-3)+log(4)*(9-x)=3

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Solution for (5x-3)+log(4)*(9-x)=3 equation:


Simplifying
(5x + -3) + log(4)(9 + -1x) = 3

Reorder the terms:
(-3 + 5x) + log(4)(9 + -1x) = 3

Remove parenthesis around (-3 + 5x)
-3 + 5x + log(4)(9 + -1x) = 3

Reorder the terms for easier multiplication:
-3 + 5x + 4glo(9 + -1x) = 3
-3 + 5x + (9 * 4glo + -1x * 4glo) = 3
-3 + 5x + (36glo + -4glox) = 3

Reorder the terms:
-3 + 36glo + -4glox + 5x = 3

Solving
-3 + 36glo + -4glox + 5x = 3

Solving for variable 'g'.

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

Add '3' to each side of the equation.
-3 + 36glo + -4glox + 3 + 5x = 3 + 3

Reorder the terms:
-3 + 3 + 36glo + -4glox + 5x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 36glo + -4glox + 5x = 3 + 3
36glo + -4glox + 5x = 3 + 3

Combine like terms: 3 + 3 = 6
36glo + -4glox + 5x = 6

Add '-5x' to each side of the equation.
36glo + -4glox + 5x + -5x = 6 + -5x

Combine like terms: 5x + -5x = 0
36glo + -4glox + 0 = 6 + -5x
36glo + -4glox = 6 + -5x

Reorder the terms:
-6 + 36glo + -4glox + 5x = 6 + -5x + -6 + 5x

Reorder the terms:
-6 + 36glo + -4glox + 5x = 6 + -6 + -5x + 5x

Combine like terms: 6 + -6 = 0
-6 + 36glo + -4glox + 5x = 0 + -5x + 5x
-6 + 36glo + -4glox + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 36glo + -4glox + 5x = 0

The solution to this equation could not be determined.

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