ln(x)-x+3=0

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Solution for ln(x)-x+3=0 equation:


Simplifying
ln(x) + -1x + 3 = 0

Multiply ln * x
lnx + -1x + 3 = 0

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

Solving
3 + lnx + -1x = 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 + -1x = 0 + -3

Reorder the terms:
3 + -3 + lnx + -1x = 0 + -3

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

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

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

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

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

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

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

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