ln(x)+x-1=0

Solution for ln(x)+x-1=0 equation:

Simplifying
ln(x) + x + -1 = 0

Multiply ln * x
lnx + x + -1 = 0

Reorder the terms:
-1 + lnx + x = 0

Solving
-1 + lnx + x = 0

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 + lnx + 1 + x = 0 + 1

Reorder the terms:
-1 + 1 + lnx + x = 0 + 1

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

Combine like terms: 0 + 1 = 1
lnx + x = 1

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

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

Divide each side by 'nx'.
l = n-1x-1 + -1n-1

Simplifying
l = n-1x-1 + -1n-1

Reorder the terms:
l = -1n-1 + n-1x-1