5=2lnx+4x+1

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Solution for 5=2lnx+4x+1 equation:


Simplifying
5 = 2lnx + 4x + 1

Reorder the terms:
5 = 1 + 2lnx + 4x

Solving
5 = 1 + 2lnx + 4x

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
5 + -2lnx = 1 + 2lnx + -2lnx + 4x

Combine like terms: 2lnx + -2lnx = 0
5 + -2lnx = 1 + 0 + 4x
5 + -2lnx = 1 + 4x

Add '-5' to each side of the equation.
5 + -5 + -2lnx = 1 + -5 + 4x

Combine like terms: 5 + -5 = 0
0 + -2lnx = 1 + -5 + 4x
-2lnx = 1 + -5 + 4x

Combine like terms: 1 + -5 = -4
-2lnx = -4 + 4x

Divide each side by '-2nx'.
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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