8z+2(3+2z)=3(6+2z)

Solution for 8z+2(3+2z)=3(6+2z) equation:

Simplifying
8z + 2(3 + 2z) = 3(6 + 2z)
8z + (3 * 2 + 2z * 2) = 3(6 + 2z)
8z + (6 + 4z) = 3(6 + 2z)

Reorder the terms:
6 + 8z + 4z = 3(6 + 2z)

Combine like terms: 8z + 4z = 12z
6 + 12z = 3(6 + 2z)
6 + 12z = (6 * 3 + 2z * 3)
6 + 12z = (18 + 6z)

Solving
6 + 12z = 18 + 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 + 12z + -6z = 18 + 6z + -6z

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

Combine like terms: 6z + -6z = 0
6 + 6z = 18 + 0
6 + 6z = 18

Add '-6' to each side of the equation.
6 + -6 + 6z = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 6z = 18 + -6
6z = 18 + -6

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

Divide each side by '6'.
z = 2

Simplifying
z = 2