log(2x+5)-(x-8)=1

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Solution for log(2x+5)-(x-8)=1 equation:


Simplifying
log(2x + 5) + -1(x + -8) = 1

Reorder the terms:
glo(5 + 2x) + -1(x + -8) = 1
(5 * glo + 2x * glo) + -1(x + -8) = 1
(5glo + 2glox) + -1(x + -8) = 1

Reorder the terms:
5glo + 2glox + -1(-8 + x) = 1
5glo + 2glox + (-8 * -1 + x * -1) = 1
5glo + 2glox + (8 + -1x) = 1

Reorder the terms:
8 + 5glo + 2glox + -1x = 1

Solving
8 + 5glo + 2glox + -1x = 1

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + 5glo + 2glox + -8 + -1x = 1 + -8

Reorder the terms:
8 + -8 + 5glo + 2glox + -1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 5glo + 2glox + -1x = 1 + -8
5glo + 2glox + -1x = 1 + -8

Combine like terms: 1 + -8 = -7
5glo + 2glox + -1x = -7

Add 'x' to each side of the equation.
5glo + 2glox + -1x + x = -7 + x

Combine like terms: -1x + x = 0
5glo + 2glox + 0 = -7 + x
5glo + 2glox = -7 + x

Reorder the terms:
7 + 5glo + 2glox + -1x = -7 + x + 7 + -1x

Reorder the terms:
7 + 5glo + 2glox + -1x = -7 + 7 + x + -1x

Combine like terms: -7 + 7 = 0
7 + 5glo + 2glox + -1x = 0 + x + -1x
7 + 5glo + 2glox + -1x = x + -1x

Combine like terms: x + -1x = 0
7 + 5glo + 2glox + -1x = 0

The solution to this equation could not be determined.

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