0.5(3z+6)+0.6=0.6(3z-4)

Solution for 0.5(3z+6)+0.6=0.6(3z-4) equation:

Simplifying
0.5(3z + 6) + 0.6 = 0.6(3z + -4)

Reorder the terms:
0.5(6 + 3z) + 0.6 = 0.6(3z + -4)
(6 * 0.5 + 3z * 0.5) + 0.6 = 0.6(3z + -4)
(3 + 1.5z) + 0.6 = 0.6(3z + -4)

Reorder the terms:
3 + 0.6 + 1.5z = 0.6(3z + -4)

Combine like terms: 3 + 0.6 = 3.6
3.6 + 1.5z = 0.6(3z + -4)

Reorder the terms:
3.6 + 1.5z = 0.6(-4 + 3z)
3.6 + 1.5z = (-4 * 0.6 + 3z * 0.6)
3.6 + 1.5z = (-2.4 + 1.8z)

Solving
3.6 + 1.5z = -2.4 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
3.6 + 1.5z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.5z + -1.8z = -0.3z
3.6 + -0.3z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
3.6 + -0.3z = -2.4 + 0.0
3.6 + -0.3z = -2.4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.3z = -2.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.3z = -2.4 + -3.6
-0.3z = -2.4 + -3.6

Combine like terms: -2.4 + -3.6 = -6
-0.3z = -6

Divide each side by '-0.3'.
z = 20

Simplifying
z = 20