1.5(4z-2)-0.6=0.3(6+2z)

Solution for 1.5(4z-2)-0.6=0.3(6+2z) equation:

Simplifying
1.5(4z + -2) + -0.6 = 0.3(6 + 2z)

Reorder the terms:
1.5(-2 + 4z) + -0.6 = 0.3(6 + 2z)
(-2 * 1.5 + 4z * 1.5) + -0.6 = 0.3(6 + 2z)
(-3 + 6z) + -0.6 = 0.3(6 + 2z)

Reorder the terms:
-3 + -0.6 + 6z = 0.3(6 + 2z)

Combine like terms: -3 + -0.6 = -3.6
-3.6 + 6z = 0.3(6 + 2z)
-3.6 + 6z = (6 * 0.3 + 2z * 0.3)
-3.6 + 6z = (1.8 + 0.6z)

Solving
-3.6 + 6z = 1.8 + 0.6z

Solving for variable 'z'.

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

Add '-0.6z' to each side of the equation.
-3.6 + 6z + -0.6z = 1.8 + 0.6z + -0.6z

Combine like terms: 6z + -0.6z = 5.4z
-3.6 + 5.4z = 1.8 + 0.6z + -0.6z

Combine like terms: 0.6z + -0.6z = 0.0
-3.6 + 5.4z = 1.8 + 0.0
-3.6 + 5.4z = 1.8

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 5.4z = 1.8 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 5.4z = 1.8 + 3.6
5.4z = 1.8 + 3.6

Combine like terms: 1.8 + 3.6 = 5.4
5.4z = 5.4

Divide each side by '5.4'.
z = 1

Simplifying
z = 1