2z+3=-z

Solution for 2z+3=-z equation:

Simplifying
2z + 3 = -1z

Reorder the terms:
3 + 2z = -1z

Solving
3 + 2z = -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.
3 + 2z + z = -1z + z

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

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

Add '-3' to each side of the equation.
3 + -3 + 3z = 0 + -3

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

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

Divide each side by '3'.
z = -1

Simplifying
z = -1