0.4(3z+5)+1.6=0.6(3z-4)

Solution for 0.4(3z+5)+1.6=0.6(3z-4) equation:

Simplifying
0.4(3z + 5) + 1.6 = 0.6(3z + -4)

Reorder the terms:
0.4(5 + 3z) + 1.6 = 0.6(3z + -4)
(5 * 0.4 + 3z * 0.4) + 1.6 = 0.6(3z + -4)
(2 + 1.2z) + 1.6 = 0.6(3z + -4)

Reorder the terms:
2 + 1.6 + 1.2z = 0.6(3z + -4)

Combine like terms: 2 + 1.6 = 3.6
3.6 + 1.2z = 0.6(3z + -4)

Reorder the terms:
3.6 + 1.2z = 0.6(-4 + 3z)
3.6 + 1.2z = (-4 * 0.6 + 3z * 0.6)
3.6 + 1.2z = (-2.4 + 1.8z)

Solving
3.6 + 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.
3.6 + 1.2z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
3.6 + -0.6z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
3.6 + -0.6z = -2.4 + 0.0
3.6 + -0.6z = -2.4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.6z = -2.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.6z = -2.4 + -3.6
-0.6z = -2.4 + -3.6

Combine like terms: -2.4 + -3.6 = -6
-0.6z = -6

Divide each side by '-0.6'.
z = 10

Simplifying
z = 10