9=9ln(x)-x

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Solution for 9=9ln(x)-x equation:


Simplifying
9 = 9ln(x) + -1x

Multiply ln * x
9 = 9lnx + -1x

Solving
9 = 9lnx + -1x

Solving for variable 'l'.

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

Add '-9lnx' to each side of the equation.
9 + -9lnx = 9lnx + -9lnx + -1x

Combine like terms: 9lnx + -9lnx = 0
9 + -9lnx = 0 + -1x
9 + -9lnx = -1x

Add '-9' to each side of the equation.
9 + -9 + -9lnx = -9 + -1x

Combine like terms: 9 + -9 = 0
0 + -9lnx = -9 + -1x
-9lnx = -9 + -1x

Divide each side by '-9nx'.
l = n-1x-1 + 0.1111111111n-1

Simplifying
l = n-1x-1 + 0.1111111111n-1

Reorder the terms:
l = 0.1111111111n-1 + n-1x-1

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