2(z+3)=5-z

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

Simplifying
2(z + 3) = 5 + -1z

Reorder the terms:
2(3 + z) = 5 + -1z
(3 * 2 + z * 2) = 5 + -1z
(6 + 2z) = 5 + -1z

Solving
6 + 2z = 5 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
6 + 2z + z = 5 + -1z + z

Combine like terms: 2z + z = 3z
6 + 3z = 5 + -1z + z

Combine like terms: -1z + z = 0
6 + 3z = 5 + 0
6 + 3z = 5

Add '-6' to each side of the equation.
6 + -6 + 3z = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 3z = 5 + -6
3z = 5 + -6

Combine like terms: 5 + -6 = -1
3z = -1

Divide each side by '3'.
z = -0.3333333333

Simplifying
z = -0.3333333333