.5z+6=3-2z

Solution for .5z+6=3-2z equation:

Simplifying
0.5z + 6 = 3 + -2z

Reorder the terms:
6 + 0.5z = 3 + -2z

Solving
6 + 0.5z = 3 + -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.
6 + 0.5z + 2z = 3 + -2z + 2z

Combine like terms: 0.5z + 2z = 2.5z
6 + 2.5z = 3 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + 2.5z = 3 + 0
6 + 2.5z = 3

Add '-6' to each side of the equation.
6 + -6 + 2.5z = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 2.5z = 3 + -6
2.5z = 3 + -6

Combine like terms: 3 + -6 = -3
2.5z = -3

Divide each side by '2.5'.
z = -1.2

Simplifying
z = -1.2