3(z-2)+6=5(2+4)

Solution for 3(z-2)+6=5(2+4) equation:

Simplifying
3(z + -2) + 6 = 5(2 + 4)

Reorder the terms:
3(-2 + z) + 6 = 5(2 + 4)
(-2 * 3 + z * 3) + 6 = 5(2 + 4)
(-6 + 3z) + 6 = 5(2 + 4)

Reorder the terms:
-6 + 6 + 3z = 5(2 + 4)

Combine like terms: -6 + 6 = 0
0 + 3z = 5(2 + 4)
3z = 5(2 + 4)

Combine like terms: 2 + 4 = 6
3z = 5(6)

Multiply 5 * 6
3z = 30

Solving
3z = 30

Solving for variable 'z'.

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

Divide each side by '3'.
z = 10

Simplifying
z = 10