0.3(4z+6)+31.2=0.6(4z-5)

Solution for 0.3(4z+6)+31.2=0.6(4z-5) equation:

Simplifying
0.3(4z + 6) + 31.2 = 0.6(4z + -5)

Reorder the terms:
0.3(6 + 4z) + 31.2 = 0.6(4z + -5)
(6 * 0.3 + 4z * 0.3) + 31.2 = 0.6(4z + -5)
(1.8 + 1.2z) + 31.2 = 0.6(4z + -5)

Reorder the terms:
1.8 + 31.2 + 1.2z = 0.6(4z + -5)

Combine like terms: 1.8 + 31.2 = 33
33 + 1.2z = 0.6(4z + -5)

Reorder the terms:
33 + 1.2z = 0.6(-5 + 4z)
33 + 1.2z = (-5 * 0.6 + 4z * 0.6)
33 + 1.2z = (-3 + 2.4z)

Solving
33 + 1.2z = -3 + 2.4z

Solving for variable 'z'.

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

Add '-2.4z' to each side of the equation.
33 + 1.2z + -2.4z = -3 + 2.4z + -2.4z

Combine like terms: 1.2z + -2.4z = -1.2z
33 + -1.2z = -3 + 2.4z + -2.4z

Combine like terms: 2.4z + -2.4z = 0.0
33 + -1.2z = -3 + 0.0
33 + -1.2z = -3

Add '-33' to each side of the equation.
33 + -33 + -1.2z = -3 + -33

Combine like terms: 33 + -33 = 0
0 + -1.2z = -3 + -33
-1.2z = -3 + -33

Combine like terms: -3 + -33 = -36
-1.2z = -36

Divide each side by '-1.2'.
z = 30

Simplifying
z = 30