2log(5)x-log(5)2=log(5)(2x+6)

Solution for 2log(5)x-log(5)2=log(5)(2x+6) equation:

Simplifying
2log(5) * x + -1log(5) * 2 = log(5)(2x + 6)

Reorder the terms for easier multiplication:
2 * 5glo * x + -1log(5) * 2 = log(5)(2x + 6)

Multiply 2 * 5
10glo * x + -1log(5) * 2 = log(5)(2x + 6)

Multiply glo * x
10glox + -1log(5) * 2 = log(5)(2x + 6)

Reorder the terms for easier multiplication:
10glox + -1 * 5 * 2glo = log(5)(2x + 6)

Multiply -1 * 5
10glox + -5 * 2glo = log(5)(2x + 6)

Multiply -5 * 2
10glox + -10glo = log(5)(2x + 6)

Reorder the terms:
-10glo + 10glox = log(5)(2x + 6)

Reorder the terms:
-10glo + 10glox = glo * 5(6 + 2x)

Reorder the terms for easier multiplication:
-10glo + 10glox = 5glo(6 + 2x)
-10glo + 10glox = (6 * 5glo + 2x * 5glo)
-10glo + 10glox = (30glo + 10glox)

Add '-10glox' to each side of the equation.
-10glo + 10glox + -10glox = 30glo + 10glox + -10glox

Combine like terms: 10glox + -10glox = 0
-10glo + 0 = 30glo + 10glox + -10glox
-10glo = 30glo + 10glox + -10glox

Combine like terms: 10glox + -10glox = 0
-10glo = 30glo + 0
-10glo = 30glo

Solving
-10glo = 30glo

Solving for variable 'g'.

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

Add '-30glo' to each side of the equation.
-10glo + -30glo = 30glo + -30glo

Combine like terms: -10glo + -30glo = -40glo
-40glo = 30glo + -30glo

Combine like terms: 30glo + -30glo = 0
-40glo = 0

Divide each side by '-40'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.