0.4(3z+7)+0.2=0.6(3z-5)

Solution for 0.4(3z+7)+0.2=0.6(3z-5) equation:

Simplifying
0.4(3z + 7) + 0.2 = 0.6(3z + -5)

Reorder the terms:
0.4(7 + 3z) + 0.2 = 0.6(3z + -5)
(7 * 0.4 + 3z * 0.4) + 0.2 = 0.6(3z + -5)
(2.8 + 1.2z) + 0.2 = 0.6(3z + -5)

Reorder the terms:
2.8 + 0.2 + 1.2z = 0.6(3z + -5)

Combine like terms: 2.8 + 0.2 = 3
3 + 1.2z = 0.6(3z + -5)

Reorder the terms:
3 + 1.2z = 0.6(-5 + 3z)
3 + 1.2z = (-5 * 0.6 + 3z * 0.6)
3 + 1.2z = (-3 + 1.8z)

Solving
3 + 1.2z = -3 + 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 + 1.2z + -1.8z = -3 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
3 + -0.6z = -3 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
3 + -0.6z = -3 + 0.0
3 + -0.6z = -3

Add '-3' to each side of the equation.
3 + -3 + -0.6z = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -0.6z = -3 + -3
-0.6z = -3 + -3

Combine like terms: -3 + -3 = -6
-0.6z = -6

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

Simplifying
z = 10