0.4(3z+5)+19.6=0.6(3z-4)

Solution for 0.4(3z+5)+19.6=0.6(3z-4) equation:

Simplifying
0.4(3z + 5) + 19.6 = 0.6(3z + -4)

Reorder the terms:
0.4(5 + 3z) + 19.6 = 0.6(3z + -4)
(5 * 0.4 + 3z * 0.4) + 19.6 = 0.6(3z + -4)
(2 + 1.2z) + 19.6 = 0.6(3z + -4)

Reorder the terms:
2 + 19.6 + 1.2z = 0.6(3z + -4)

Combine like terms: 2 + 19.6 = 21.6
21.6 + 1.2z = 0.6(3z + -4)

Reorder the terms:
21.6 + 1.2z = 0.6(-4 + 3z)
21.6 + 1.2z = (-4 * 0.6 + 3z * 0.6)
21.6 + 1.2z = (-2.4 + 1.8z)

Solving
21.6 + 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.
21.6 + 1.2z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
21.6 + -0.6z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
21.6 + -0.6z = -2.4 + 0.0
21.6 + -0.6z = -2.4

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -0.6z = -2.4 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -0.6z = -2.4 + -21.6
-0.6z = -2.4 + -21.6

Combine like terms: -2.4 + -21.6 = -24
-0.6z = -24

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

Simplifying
z = 40