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

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


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

Reorder the terms:
ln(-2 + x) + (2x + 1) = 5
(-2 * ln + x * ln) + (2x + 1) = 5
(-2ln + lnx) + (2x + 1) = 5

Reorder the terms:
-2ln + lnx + (1 + 2x) = 5

Remove parenthesis around (1 + 2x)
-2ln + lnx + 1 + 2x = 5

Reorder the terms:
1 + -2ln + lnx + 2x = 5

Solving
1 + -2ln + lnx + 2x = 5

Solving for variable 'l'.

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

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

Reorder the terms:
1 + -1 + -2ln + lnx + 2x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -2ln + lnx + 2x = 5 + -1
-2ln + lnx + 2x = 5 + -1

Combine like terms: 5 + -1 = 4
-2ln + lnx + 2x = 4

Add '-2x' to each side of the equation.
-2ln + lnx + 2x + -2x = 4 + -2x

Combine like terms: 2x + -2x = 0
-2ln + lnx + 0 = 4 + -2x
-2ln + lnx = 4 + -2x

Reorder the terms:
-4 + -2ln + lnx + 2x = 4 + -2x + -4 + 2x

Reorder the terms:
-4 + -2ln + lnx + 2x = 4 + -4 + -2x + 2x

Combine like terms: 4 + -4 = 0
-4 + -2ln + lnx + 2x = 0 + -2x + 2x
-4 + -2ln + lnx + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + -2ln + lnx + 2x = 0

The solution to this equation could not be determined.

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