log(5)2x-7=log(5)3x-9

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Solution for log(5)2x-7=log(5)3x-9 equation:


Simplifying
log(5) * 2x + -7 = log(5) * 3x + -9

Reorder the terms for easier multiplication:
5 * 2glo * x + -7 = log(5) * 3x + -9

Multiply 5 * 2
10glo * x + -7 = log(5) * 3x + -9

Multiply glo * x
10glox + -7 = log(5) * 3x + -9

Reorder the terms:
-7 + 10glox = log(5) * 3x + -9

Reorder the terms for easier multiplication:
-7 + 10glox = 5 * 3glo * x + -9

Multiply 5 * 3
-7 + 10glox = 15glo * x + -9

Multiply glo * x
-7 + 10glox = 15glox + -9

Reorder the terms:
-7 + 10glox = -9 + 15glox

Solving
-7 + 10glox = -9 + 15glox

Solving for variable 'g'.

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

Add '-15glox' to each side of the equation.
-7 + 10glox + -15glox = -9 + 15glox + -15glox

Combine like terms: 10glox + -15glox = -5glox
-7 + -5glox = -9 + 15glox + -15glox

Combine like terms: 15glox + -15glox = 0
-7 + -5glox = -9 + 0
-7 + -5glox = -9

Add '7' to each side of the equation.
-7 + 7 + -5glox = -9 + 7

Combine like terms: -7 + 7 = 0
0 + -5glox = -9 + 7
-5glox = -9 + 7

Combine like terms: -9 + 7 = -2
-5glox = -2

Divide each side by '-5lox'.
g = 0.4l-1o-1x-1

Simplifying
g = 0.4l-1o-1x-1

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