3+log[2]5=log[2](7x-2)

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Solution for 3+log[2]5=log[2](7x-2) equation:


Simplifying
3 + log[2] * 5 = log[2](7x + -2)

Reorder the terms for easier multiplication:
3 + 2 * 5glo = log[2](7x + -2)

Multiply 2 * 5
3 + 10glo = log[2](7x + -2)

Reorder the terms:
3 + 10glo = glo * 2(-2 + 7x)

Reorder the terms for easier multiplication:
3 + 10glo = 2glo(-2 + 7x)
3 + 10glo = (-2 * 2glo + 7x * 2glo)
3 + 10glo = (-4glo + 14glox)

Solving
3 + 10glo = -4glo + 14glox

Solving for variable 'g'.

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

Add '4glo' to each side of the equation.
3 + 10glo + 4glo = -4glo + 4glo + 14glox

Combine like terms: 10glo + 4glo = 14glo
3 + 14glo = -4glo + 4glo + 14glox

Combine like terms: -4glo + 4glo = 0
3 + 14glo = 0 + 14glox
3 + 14glo = 14glox

Add '-14glox' to each side of the equation.
3 + 14glo + -14glox = 14glox + -14glox

Combine like terms: 14glox + -14glox = 0
3 + 14glo + -14glox = 0

Add '-3' to each side of the equation.
3 + 14glo + -3 + -14glox = 0 + -3

Reorder the terms:
3 + -3 + 14glo + -14glox = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14glo + -14glox = 0 + -3
14glo + -14glox = 0 + -3

Combine like terms: 0 + -3 = -3
14glo + -14glox = -3

Reorder the terms:
3 + 14glo + -14glox = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 14glo + -14glox = 0

The solution to this equation could not be determined.

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