3z-1=-2z

Solution for 3z-1=-2z equation:

Simplifying
3z + -1 = -2z

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

Solving
-1 + 3z = -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-1 + 3z + 2z = -2z + 2z

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

Combine like terms: -2z + 2z = 0
-1 + 5z = 0

Add '1' to each side of the equation.
-1 + 1 + 5z = 0 + 1

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

Combine like terms: 0 + 1 = 1
5z = 1

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2