log(3x+2)=1+log(x-7)

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Solution for log(3x+2)=1+log(x-7) equation:


Simplifying
log(3x + 2) = 1 + log(x + -7)

Reorder the terms:
glo(2 + 3x) = 1 + log(x + -7)
(2 * glo + 3x * glo) = 1 + log(x + -7)
(2glo + 3glox) = 1 + log(x + -7)

Reorder the terms:
2glo + 3glox = 1 + glo(-7 + x)
2glo + 3glox = 1 + (-7 * glo + x * glo)
2glo + 3glox = 1 + (-7glo + glox)

Solving
2glo + 3glox = 1 + -7glo + glox

Solving for variable 'g'.

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

Add '7glo' to each side of the equation.
2glo + 7glo + 3glox = 1 + -7glo + 7glo + glox

Combine like terms: 2glo + 7glo = 9glo
9glo + 3glox = 1 + -7glo + 7glo + glox

Combine like terms: -7glo + 7glo = 0
9glo + 3glox = 1 + 0 + glox
9glo + 3glox = 1 + glox

Add '-1glox' to each side of the equation.
9glo + 3glox + -1glox = 1 + glox + -1glox

Combine like terms: 3glox + -1glox = 2glox
9glo + 2glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
9glo + 2glox = 1 + 0
9glo + 2glox = 1

Reorder the terms:
-1 + 9glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 9glo + 2glox = 0

The solution to this equation could not be determined.

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