log(4)2x-3+log(4)5-x=2

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Solution for log(4)2x-3+log(4)5-x=2 equation:


Simplifying
log(4) * 2x + -3 + log(4) * 5 + -1x = 2

Reorder the terms for easier multiplication:
4 * 2glo * x + -3 + log(4) * 5 + -1x = 2

Multiply 4 * 2
8glo * x + -3 + log(4) * 5 + -1x = 2

Multiply glo * x
8glox + -3 + log(4) * 5 + -1x = 2

Reorder the terms for easier multiplication:
8glox + -3 + 4 * 5glo + -1x = 2

Multiply 4 * 5
8glox + -3 + 20glo + -1x = 2

Reorder the terms:
-3 + 20glo + 8glox + -1x = 2

Solving
-3 + 20glo + 8glox + -1x = 2

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 + 20glo + 8glox + 3 + -1x = 2 + 3

Reorder the terms:
-3 + 3 + 20glo + 8glox + -1x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 20glo + 8glox + -1x = 2 + 3
20glo + 8glox + -1x = 2 + 3

Combine like terms: 2 + 3 = 5
20glo + 8glox + -1x = 5

Add 'x' to each side of the equation.
20glo + 8glox + -1x + x = 5 + x

Combine like terms: -1x + x = 0
20glo + 8glox + 0 = 5 + x
20glo + 8glox = 5 + x

Reorder the terms:
-5 + 20glo + 8glox + -1x = 5 + x + -5 + -1x

Reorder the terms:
-5 + 20glo + 8glox + -1x = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + 20glo + 8glox + -1x = 0 + x + -1x
-5 + 20glo + 8glox + -1x = x + -1x

Combine like terms: x + -1x = 0
-5 + 20glo + 8glox + -1x = 0

The solution to this equation could not be determined.

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