3=2(z-3)

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

Simplifying
3 = 2(z + -3)

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

Solving
3 = -6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
3 + -2z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + -2z = -6 + 0
3 + -2z = -6

Add '-3' to each side of the equation.
3 + -3 + -2z = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = -6 + -3
-2z = -6 + -3

Combine like terms: -6 + -3 = -9
-2z = -9

Divide each side by '-2'.
z = 4.5

Simplifying
z = 4.5