-2*z*(ln(7.6))=(2*z-1)*(ln(5.3))

Solution for -2*z*(ln(7.6))=(2*z-1)*(ln(5.3)) equation:

Simplifying
-2z(ln(7.6)) = (2z + -1)(ln(5.3))

Reorder the terms for easier multiplication:
-2z(7.6ln) = (2z + -1)(ln(5.3))

Remove parenthesis around (7.6ln)
-2z * 7.6ln = (2z + -1)(ln(5.3))

Reorder the terms for easier multiplication:
-2 * 7.6z * ln = (2z + -1)(ln(5.3))

Multiply -2 * 7.6
-15.2z * ln = (2z + -1)(ln(5.3))

Multiply z * ln
-15.2lnz = (2z + -1)(ln(5.3))

Reorder the terms:
-15.2lnz = (-1 + 2z)(ln(5.3))

Reorder the terms for easier multiplication:
-15.2lnz = (-1 + 2z)(5.3ln)

Remove parenthesis around (5.3ln)
-15.2lnz = (-1 + 2z) * 5.3ln

Reorder the terms for easier multiplication:
-15.2lnz = 5.3ln(-1 + 2z)
-15.2lnz = (-1 * 5.3ln + 2z * 5.3ln)
-15.2lnz = (-5.3ln + 10.6lnz)

Solving
-15.2lnz = -5.3ln + 10.6lnz

Solving for variable 'l'.

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

Add '5.3ln' to each side of the equation.
5.3ln + -15.2lnz = -5.3ln + 5.3ln + 10.6lnz

Combine like terms: -5.3ln + 5.3ln = 0.0
5.3ln + -15.2lnz = 0.0 + 10.6lnz
5.3ln + -15.2lnz = 10.6lnz

Add '-10.6lnz' to each side of the equation.
5.3ln + -15.2lnz + -10.6lnz = 10.6lnz + -10.6lnz

Combine like terms: -15.2lnz + -10.6lnz = -25.8lnz
5.3ln + -25.8lnz = 10.6lnz + -10.6lnz

Combine like terms: 10.6lnz + -10.6lnz = 0.0
5.3ln + -25.8lnz = 0.0

The solution to this equation could not be determined.