2(3-z)=16-2(3+2z)

Solution for 2(3-z)=16-2(3+2z) equation:

Simplifying
2(3 + -1z) = 16 + -2(3 + 2z)
(3 * 2 + -1z * 2) = 16 + -2(3 + 2z)
(6 + -2z) = 16 + -2(3 + 2z)
6 + -2z = 16 + (3 * -2 + 2z * -2)
6 + -2z = 16 + (-6 + -4z)

Combine like terms: 16 + -6 = 10
6 + -2z = 10 + -4z

Solving
6 + -2z = 10 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
6 + -2z + 4z = 10 + -4z + 4z

Combine like terms: -2z + 4z = 2z
6 + 2z = 10 + -4z + 4z

Combine like terms: -4z + 4z = 0
6 + 2z = 10 + 0
6 + 2z = 10

Add '-6' to each side of the equation.
6 + -6 + 2z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = 10 + -6
2z = 10 + -6

Combine like terms: 10 + -6 = 4
2z = 4

Divide each side by '2'.
z = 2

Simplifying
z = 2