.50(6-z)=z

Solution for .50(6-z)=z equation:

Simplifying
0.50(6 + -1z) = z
(6 * 0.50 + -1z * 0.50) = z
(3 + -0.5z) = z

Solving
3 + -0.5z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
3 + -0.5z + -1z = z + -1z

Combine like terms: -0.5z + -1z = -1.5z
3 + -1.5z = z + -1z

Combine like terms: z + -1z = 0
3 + -1.5z = 0

Add '-3' to each side of the equation.
3 + -3 + -1.5z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.5z = 0 + -3
-1.5z = 0 + -3

Combine like terms: 0 + -3 = -3
-1.5z = -3

Divide each side by '-1.5'.
z = 2

Simplifying
z = 2