ln(x)+0.5*x-1=0

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Solution for ln(x)+0.5*x-1=0 equation: 


Simplifying
ln(x) + 0.5x + -1 = 0

Multiply ln * x
lnx + 0.5x + -1 = 0

Reorder the terms:
-1 + lnx + 0.5x = 0

Solving
-1 + lnx + 0.5x = 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 + 0.5x = 0 + 1

Reorder the terms:
-1 + 1 + lnx + 0.5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + lnx + 0.5x = 0 + 1
lnx + 0.5x = 0 + 1

Combine like terms: 0 + 1 = 1
lnx + 0.5x = 1

Add '-0.5x' to each side of the equation.
lnx + 0.5x + -0.5x = 1 + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
lnx + 0.0 = 1 + -0.5x
lnx = 1 + -0.5x

Divide each side by 'nx'.
l = n-1x-1 + -0.5n-1

Simplifying
l = n-1x-1 + -0.5n-1

Reorder the terms:
l = -0.5n-1 + n-1x-1

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