0.5(2z+4)-0.8=0.2(6-4z)

Solution for 0.5(2z+4)-0.8=0.2(6-4z) equation:

Simplifying
0.5(2z + 4) + -0.8 = 0.2(6 + -4z)

Reorder the terms:
0.5(4 + 2z) + -0.8 = 0.2(6 + -4z)
(4 * 0.5 + 2z * 0.5) + -0.8 = 0.2(6 + -4z)
(2 + 1z) + -0.8 = 0.2(6 + -4z)

Reorder the terms:
2 + -0.8 + 1z = 0.2(6 + -4z)

Combine like terms: 2 + -0.8 = 1.2
1.2 + 1z = 0.2(6 + -4z)
1.2 + 1z = (6 * 0.2 + -4z * 0.2)
1.2 + 1z = (1.2 + -0.8z)

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 1z = 1.2 + -1.2 + -0.8z

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1z = 1.2 + -1.2 + -0.8z
1z = 1.2 + -1.2 + -0.8z

Combine like terms: 1.2 + -1.2 = 0.0
1z = 0.0 + -0.8z
1z = -0.8z

Solving
1z = -0.8z

Solving for variable 'z'.

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

Add '0.8z' to each side of the equation.
1z + 0.8z = -0.8z + 0.8z

Combine like terms: 1z + 0.8z = 1.8z
1.8z = -0.8z + 0.8z

Combine like terms: -0.8z + 0.8z = 0.0
1.8z = 0.0

Divide each side by '1.8'.
z = 0

Simplifying
z = 0