6-5z=2z(3-1)

Solution for 6-5z=2z(3-1) equation:

Simplifying
6 + -5z = 2z(3 + -1)

Combine like terms: 3 + -1 = 2
6 + -5z = 2z(2)

Reorder the terms for easier multiplication:
6 + -5z = 2 * 2z

Multiply 2 * 2
6 + -5z = 4z

Solving
6 + -5z = 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
6 + -5z + -4z = 4z + -4z

Combine like terms: -5z + -4z = -9z
6 + -9z = 4z + -4z

Combine like terms: 4z + -4z = 0
6 + -9z = 0

Add '-6' to each side of the equation.
6 + -6 + -9z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9z = 0 + -6
-9z = 0 + -6

Combine like terms: 0 + -6 = -6
-9z = -6

Divide each side by '-9'.
z = 0.6666666667

Simplifying
z = 0.6666666667