.5(x+3)-ln(x)=0

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Solution for .5(x+3)-ln(x)=0 equation: 


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

Reorder the terms:
0.5(3 + x) + -1ln(x) = 0
(3 * 0.5 + x * 0.5) + -1ln(x) = 0
(1.5 + 0.5x) + -1ln(x) = 0

Multiply ln * x
1.5 + 0.5x + -1lnx = 0

Reorder the terms:
1.5 + -1lnx + 0.5x = 0

Solving
1.5 + -1lnx + 0.5x = 0

Solving for variable 'l'.

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

Add '-1.5' to each side of the equation.
1.5 + -1lnx + -1.5 + 0.5x = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1lnx + 0.5x = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1lnx + 0.5x = 0 + -1.5
-1lnx + 0.5x = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1lnx + 0.5x = -1.5

Add '-0.5x' to each side of the equation.
-1lnx + 0.5x + -0.5x = -1.5 + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1lnx + 0.0 = -1.5 + -0.5x
-1lnx = -1.5 + -0.5x

Divide each side by '-1nx'.
l = 1.5n-1x-1 + 0.5n-1

Simplifying
l = 1.5n-1x-1 + 0.5n-1

Reorder the terms:
l = 0.5n-1 + 1.5n-1x-1

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