0.3(2z+5)+18.9=0.6(2z-6)

Solution for 0.3(2z+5)+18.9=0.6(2z-6) equation:

Simplifying
0.3(2z + 5) + 18.9 = 0.6(2z + -6)

Reorder the terms:
0.3(5 + 2z) + 18.9 = 0.6(2z + -6)
(5 * 0.3 + 2z * 0.3) + 18.9 = 0.6(2z + -6)
(1.5 + 0.6z) + 18.9 = 0.6(2z + -6)

Reorder the terms:
1.5 + 18.9 + 0.6z = 0.6(2z + -6)

Combine like terms: 1.5 + 18.9 = 20.4
20.4 + 0.6z = 0.6(2z + -6)

Reorder the terms:
20.4 + 0.6z = 0.6(-6 + 2z)
20.4 + 0.6z = (-6 * 0.6 + 2z * 0.6)
20.4 + 0.6z = (-3.6 + 1.2z)

Solving
20.4 + 0.6z = -3.6 + 1.2z

Solving for variable 'z'.

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

Add '-1.2z' to each side of the equation.
20.4 + 0.6z + -1.2z = -3.6 + 1.2z + -1.2z

Combine like terms: 0.6z + -1.2z = -0.6z
20.4 + -0.6z = -3.6 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
20.4 + -0.6z = -3.6 + 0.0
20.4 + -0.6z = -3.6

Add '-20.4' to each side of the equation.
20.4 + -20.4 + -0.6z = -3.6 + -20.4

Combine like terms: 20.4 + -20.4 = 0.0
0.0 + -0.6z = -3.6 + -20.4
-0.6z = -3.6 + -20.4

Combine like terms: -3.6 + -20.4 = -24
-0.6z = -24

Divide each side by '-0.6'.
z = 40

Simplifying
z = 40