3(z-2)+6=(z+4)

Solution for 3(z-2)+6=(z+4) equation:

Simplifying
3(z + -2) + 6 = (z + 4)

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

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

Combine like terms: -6 + 6 = 0
0 + 3z = (z + 4)
3z = (z + 4)

Reorder the terms:
3z = (4 + z)

Remove parenthesis around (4 + z)
3z = 4 + z

Solving
3z = 4 + 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.
3z + -1z = 4 + z + -1z

Combine like terms: 3z + -1z = 2z
2z = 4 + z + -1z

Combine like terms: z + -1z = 0
2z = 4 + 0
2z = 4

Divide each side by '2'.
z = 2

Simplifying
z = 2