ln(x)-x+5=0

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Solution for ln(x)-x+5=0 equation:


Simplifying
ln(x) + -1x + 5 = 0

Multiply ln * x
lnx + -1x + 5 = 0

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

Solving
5 + lnx + -1x = 0

Solving for variable 'l'.

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

Add '-5' to each side of the equation.
5 + lnx + -5 + -1x = 0 + -5

Reorder the terms:
5 + -5 + lnx + -1x = 0 + -5

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

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

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

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

Divide each side by 'nx'.
l = -5n-1x-1 + n-1

Simplifying
l = -5n-1x-1 + n-1

Reorder the terms:
l = n-1 + -5n-1x-1

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