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

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


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

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

Reorder the terms for easier multiplication:
2glo(5 + x) = -1log(2)(x + 3) + 3
(5 * 2glo + x * 2glo) = -1log(2)(x + 3) + 3
(10glo + 2glox) = -1log(2)(x + 3) + 3

Reorder the terms:
10glo + 2glox = -1glo * 2(3 + x) + 3

Reorder the terms for easier multiplication:
10glo + 2glox = -1 * 2glo(3 + x) + 3

Multiply -1 * 2
10glo + 2glox = -2glo(3 + x) + 3
10glo + 2glox = (3 * -2glo + x * -2glo) + 3
10glo + 2glox = (-6glo + -2glox) + 3

Reorder the terms:
10glo + 2glox = 3 + -6glo + -2glox

Solving
10glo + 2glox = 3 + -6glo + -2glox

Solving for variable 'g'.

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

Add '6glo' to each side of the equation.
10glo + 6glo + 2glox = 3 + -6glo + 6glo + -2glox

Combine like terms: 10glo + 6glo = 16glo
16glo + 2glox = 3 + -6glo + 6glo + -2glox

Combine like terms: -6glo + 6glo = 0
16glo + 2glox = 3 + 0 + -2glox
16glo + 2glox = 3 + -2glox

Add '2glox' to each side of the equation.
16glo + 2glox + 2glox = 3 + -2glox + 2glox

Combine like terms: 2glox + 2glox = 4glox
16glo + 4glox = 3 + -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
16glo + 4glox = 3 + 0
16glo + 4glox = 3

Reorder the terms:
-3 + 16glo + 4glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 16glo + 4glox = 0

The solution to this equation could not be determined.

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