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

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

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

Reorder the terms:
3(-2 + z) = (z + -1)
(-2 * 3 + z * 3) = (z + -1)
(-6 + 3z) = (z + -1)

Reorder the terms:
-6 + 3z = (-1 + z)

Remove parenthesis around (-1 + z)
-6 + 3z = -1 + z

Solving
-6 + 3z = -1 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6 + 3z + -1z = -1 + z + -1z

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

Combine like terms: z + -1z = 0
-6 + 2z = -1 + 0
-6 + 2z = -1

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

Combine like terms: -6 + 6 = 0
0 + 2z = -1 + 6
2z = -1 + 6

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

Divide each side by '2'.
z = 2.5

Simplifying
z = 2.5