57.8=x-ln(x)

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Solution for 57.8=x-ln(x) equation: 


Simplifying
57.8 = x + -1ln(x)

Multiply ln * x
57.8 = x + -1lnx

Reorder the terms:
57.8 = -1lnx + x

Solving
57.8 = -1lnx + x

Solving for variable 'l'.

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

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

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

Add '-57.8' to each side of the equation.
57.8 + -57.8 + lnx = -57.8 + x

Combine like terms: 57.8 + -57.8 = 0.0
0.0 + lnx = -57.8 + x
lnx = -57.8 + x

Divide each side by 'nx'.
l = -57.8n-1x-1 + n-1

Simplifying
l = -57.8n-1x-1 + n-1

Reorder the terms:
l = n-1 + -57.8n-1x-1

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