ln(x-1)+x=a

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

Simplifying
ln(x + -1) + x = a

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

Solving
-1ln + lnx + x = a

Solving for variable 'l'.

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

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

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

Reorder the terms:
-1a + -1ln + lnx + x = a + -1x + -1a + x

Reorder the terms:
-1a + -1ln + lnx + x = a + -1a + -1x + x

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

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

The solution to this equation could not be determined.