4.85=lnx-x

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Solution for 4.85=lnx-x equation:


Simplifying
4.85 = lnx + -1x

Solving
4.85 = lnx + -1x

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
4.85 + -1lnx = lnx + -1lnx + -1x

Combine like terms: lnx + -1lnx = 0
4.85 + -1lnx = 0 + -1x
4.85 + -1lnx = -1x

Add '-4.85' to each side of the equation.
4.85 + -4.85 + -1lnx = -4.85 + -1x

Combine like terms: 4.85 + -4.85 = 0.00
0.00 + -1lnx = -4.85 + -1x
-1lnx = -4.85 + -1x

Divide each side by '-1nx'.
l = 4.85n-1x-1 + n-1

Simplifying
l = 4.85n-1x-1 + n-1

Reorder the terms:
l = n-1 + 4.85n-1x-1

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