x+lnx-3=0

Solution for x+lnx-3=0 equation:

Simplifying
x + lnx + -3 = 0

Reorder the terms:
-3 + lnx + x = 0

Solving
-3 + lnx + x = 0

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + lnx + 3 + x = 0 + 3

Reorder the terms:
-3 + 3 + lnx + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + lnx + x = 0 + 3
lnx + x = 0 + 3

Combine like terms: 0 + 3 = 3
lnx + x = 3

Add '-1x' to each side of the equation.
lnx + x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
lnx + 0 = 3 + -1x
lnx = 3 + -1x

Divide each side by 'nx'.
l = 3n-1x-1 + -1n-1

Simplifying
l = 3n-1x-1 + -1n-1

Reorder the terms:
l = -1n-1 + 3n-1x-1