0.4(3z+6)+7.2=0.6(3z-4)

Solution for 0.4(3z+6)+7.2=0.6(3z-4) equation:

Simplifying
0.4(3z + 6) + 7.2 = 0.6(3z + -4)

Reorder the terms:
0.4(6 + 3z) + 7.2 = 0.6(3z + -4)
(6 * 0.4 + 3z * 0.4) + 7.2 = 0.6(3z + -4)
(2.4 + 1.2z) + 7.2 = 0.6(3z + -4)

Reorder the terms:
2.4 + 7.2 + 1.2z = 0.6(3z + -4)

Combine like terms: 2.4 + 7.2 = 9.6
9.6 + 1.2z = 0.6(3z + -4)

Reorder the terms:
9.6 + 1.2z = 0.6(-4 + 3z)
9.6 + 1.2z = (-4 * 0.6 + 3z * 0.6)
9.6 + 1.2z = (-2.4 + 1.8z)

Solving
9.6 + 1.2z = -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.
9.6 + 1.2z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
9.6 + -0.6z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
9.6 + -0.6z = -2.4 + 0.0
9.6 + -0.6z = -2.4

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -0.6z = -2.4 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -0.6z = -2.4 + -9.6
-0.6z = -2.4 + -9.6

Combine like terms: -2.4 + -9.6 = -12
-0.6z = -12

Divide each side by '-0.6'.
z = 20

Simplifying
z = 20