log(7)2x-5=log(7)x-1

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Solution for log(7)2x-5=log(7)x-1 equation:


Simplifying
log(7) * 2x + -5 = log(7) * x + -1
Reorder the terms for easier multiplication:
7 * 2glo * x + -5 = log(7) * x + -1
Multiply 7 * 2
14glo * x + -5 = log(7) * x + -1
Multiply glo * x
14glox + -5 = log(7) * x + -1
Reorder the terms:
-5 + 14glox = log(7) * x + -1
Reorder the terms for easier multiplication:
-5 + 14glox = 7glo * x + -1
Multiply glo * x
-5 + 14glox = 7glox + -1
Reorder the terms:
-5 + 14glox = -1 + 7glox
Solving
-5 + 14glox = -1 + 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 = -1 + 7glox + -7glox
Combine like terms: 14glox + -7glox = 7glox
-5 + 7glox = -1 + 7glox + -7glox
Combine like terms: 7glox + -7glox = 0
-5 + 7glox = -1 + 0
-5 + 7glox = -1
Add '5' to each side of the equation.
-5 + 5 + 7glox = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 7glox = -1 + 5
7glox = -1 + 5
Combine like terms: -1 + 5 = 4
7glox = 4
Divide each side by '7lox'.
g = 0.5714285714l-1o-1x-1
Simplifying
g = 0.5714285714l-1o-1x-1

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