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

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


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

Reorder the terms:
glo(-2 + x) + (x + -5) = 1
(-2 * glo + x * glo) + (x + -5) = 1
(-2glo + glox) + (x + -5) = 1

Reorder the terms:
-2glo + glox + (-5 + x) = 1

Remove parenthesis around (-5 + x)
-2glo + glox + -5 + x = 1

Reorder the terms:
-5 + -2glo + glox + x = 1

Solving
-5 + -2glo + glox + x = 1

Solving for variable 'g'.

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

Add '5' to each side of the equation.
-5 + -2glo + glox + 5 + x = 1 + 5

Reorder the terms:
-5 + 5 + -2glo + glox + x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -2glo + glox + x = 1 + 5
-2glo + glox + x = 1 + 5

Combine like terms: 1 + 5 = 6
-2glo + glox + x = 6

Add '-1x' to each side of the equation.
-2glo + glox + x + -1x = 6 + -1x

Combine like terms: x + -1x = 0
-2glo + glox + 0 = 6 + -1x
-2glo + glox = 6 + -1x

Reorder the terms:
-6 + -2glo + glox + x = 6 + -1x + -6 + x

Reorder the terms:
-6 + -2glo + glox + x = 6 + -6 + -1x + x

Combine like terms: 6 + -6 = 0
-6 + -2glo + glox + x = 0 + -1x + x
-6 + -2glo + glox + x = -1x + x

Combine like terms: -1x + x = 0
-6 + -2glo + glox + x = 0

The solution to this equation could not be determined.

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