3(z-2)=3(2z+4)

Solution for 3(z-2)=3(2z+4) equation:

Simplifying
3(z + -2) = 3(2z + 4)

Reorder the terms:
3(-2 + z) = 3(2z + 4)
(-2 * 3 + z * 3) = 3(2z + 4)
(-6 + 3z) = 3(2z + 4)

Reorder the terms:
-6 + 3z = 3(4 + 2z)
-6 + 3z = (4 * 3 + 2z * 3)
-6 + 3z = (12 + 6z)

Solving
-6 + 3z = 12 + 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 + 3z + -6z = 12 + 6z + -6z

Combine like terms: 3z + -6z = -3z
-6 + -3z = 12 + 6z + -6z

Combine like terms: 6z + -6z = 0
-6 + -3z = 12 + 0
-6 + -3z = 12

Add '6' to each side of the equation.
-6 + 6 + -3z = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3z = 12 + 6
-3z = 12 + 6

Combine like terms: 12 + 6 = 18
-3z = 18

Divide each side by '-3'.
z = -6

Simplifying
z = -6