ln(6)=x-8(ln(.2))

Solution for ln(6)=x-8(ln(.2)) equation:

Simplifying
ln(6) = x + -8(ln(0.2))

Reorder the terms for easier multiplication:
6ln = x + -8(ln(0.2))

Reorder the terms for easier multiplication:
6ln = x + -8(0.2ln)

Remove parenthesis around (0.2ln)
6ln = x + -8 * 0.2ln

Multiply -8 * 0.2
6ln = x + -1.6ln

Reorder the terms:
6ln = -1.6ln + x

Solving
6ln = -1.6ln + x

Solving for variable 'l'.

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

Add '1.6ln' to each side of the equation.
6ln + 1.6ln = -1.6ln + 1.6ln + x

Combine like terms: 6ln + 1.6ln = 7.6ln
7.6ln = -1.6ln + 1.6ln + x

Combine like terms: -1.6ln + 1.6ln = 0.0
7.6ln = 0.0 + x
7.6ln = x

Divide each side by '7.6n'.
l = 0.1315789474n-1x

Simplifying
l = 0.1315789474n-1x