2(3-z)=6z-1

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

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

Reorder the terms:
6 + -2z = -1 + 6z

Solving
6 + -2z = -1 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + -2z + -6z = -1 + 6z + -6z

Combine like terms: -2z + -6z = -8z
6 + -8z = -1 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -8z = -1 + 0
6 + -8z = -1

Add '-6' to each side of the equation.
6 + -6 + -8z = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -8z = -1 + -6
-8z = -1 + -6

Combine like terms: -1 + -6 = -7
-8z = -7

Divide each side by '-8'.
z = 0.875

Simplifying
z = 0.875