ln(x)+2x-2=0

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Solution for ln(x)+2x-2=0 equation: 


Simplifying
ln(x) + 2x + -2 = 0

Multiply ln * x
lnx + 2x + -2 = 0

Reorder the terms:
-2 + lnx + 2x = 0

Solving
-2 + lnx + 2x = 0

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + lnx + 2 + 2x = 0 + 2

Reorder the terms:
-2 + 2 + lnx + 2x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + lnx + 2x = 0 + 2
lnx + 2x = 0 + 2

Combine like terms: 0 + 2 = 2
lnx + 2x = 2

Add '-2x' to each side of the equation.
lnx + 2x + -2x = 2 + -2x

Combine like terms: 2x + -2x = 0
lnx + 0 = 2 + -2x
lnx = 2 + -2x

Divide each side by 'nx'.
l = 2n-1x-1 + -2n-1

Simplifying
l = 2n-1x-1 + -2n-1

Reorder the terms:
l = -2n-1 + 2n-1x-1

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