5+(ln)(8x)=20-2ln(x)

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Solution for 5+(ln)(8x)=20-2ln(x) equation:


Simplifying
5 + (ln)(8x) = 20 + -2ln(x)

Remove parenthesis around (8x)
5 + ln * 8x = 20 + -2ln(x)

Reorder the terms for easier multiplication:
5 + 8ln * x = 20 + -2ln(x)

Multiply ln * x
5 + 8lnx = 20 + -2ln(x)

Multiply ln * x
5 + 8lnx = 20 + -2lnx

Solving
5 + 8lnx = 20 + -2lnx

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 + 8lnx + 2lnx = 20 + -2lnx + 2lnx

Combine like terms: 8lnx + 2lnx = 10lnx
5 + 10lnx = 20 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
5 + 10lnx = 20 + 0
5 + 10lnx = 20

Add '-5' to each side of the equation.
5 + -5 + 10lnx = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 10lnx = 20 + -5
10lnx = 20 + -5

Combine like terms: 20 + -5 = 15
10lnx = 15

Divide each side by '10nx'.
l = 1.5n-1x-1

Simplifying
l = 1.5n-1x-1

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