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

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


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

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

Multiply 7 * 2
14glo * x + 5 = log(7) * x + -3

Multiply glo * x
14glox + 5 = log(7) * x + -3

Reorder the terms:
5 + 14glox = log(7) * x + -3

Reorder the terms for easier multiplication:
5 + 14glox = 7glo * x + -3

Multiply glo * x
5 + 14glox = 7glox + -3

Reorder the terms:
5 + 14glox = -3 + 7glox

Solving
5 + 14glox = -3 + 7glox

Solving for variable 'g'.

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

Add '-7glox' to each side of the equation.
5 + 14glox + -7glox = -3 + 7glox + -7glox

Combine like terms: 14glox + -7glox = 7glox
5 + 7glox = -3 + 7glox + -7glox

Combine like terms: 7glox + -7glox = 0
5 + 7glox = -3 + 0
5 + 7glox = -3

Add '-5' to each side of the equation.
5 + -5 + 7glox = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 7glox = -3 + -5
7glox = -3 + -5

Combine like terms: -3 + -5 = -8
7glox = -8

Divide each side by '7lox'.
g = -1.142857143l-1o-1x-1

Simplifying
g = -1.142857143l-1o-1x-1

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