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

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

Simplifying
2(z + 3) + -1z = -1z + -4(z + 2)

Reorder the terms:
2(3 + z) + -1z = -1z + -4(z + 2)
(3 * 2 + z * 2) + -1z = -1z + -4(z + 2)
(6 + 2z) + -1z = -1z + -4(z + 2)

Combine like terms: 2z + -1z = 1z
6 + 1z = -1z + -4(z + 2)

Reorder the terms:
6 + 1z = -1z + -4(2 + z)
6 + 1z = -1z + (2 * -4 + z * -4)
6 + 1z = -1z + (-8 + -4z)

Reorder the terms:
6 + 1z = -8 + -1z + -4z

Combine like terms: -1z + -4z = -5z
6 + 1z = -8 + -5z

Solving
6 + 1z = -8 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
6 + 1z + 5z = -8 + -5z + 5z

Combine like terms: 1z + 5z = 6z
6 + 6z = -8 + -5z + 5z

Combine like terms: -5z + 5z = 0
6 + 6z = -8 + 0
6 + 6z = -8

Add '-6' to each side of the equation.
6 + -6 + 6z = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 6z = -8 + -6
6z = -8 + -6

Combine like terms: -8 + -6 = -14
6z = -14

Divide each side by '6'.
z = -2.333333333

Simplifying
z = -2.333333333