3(2-z)=0.4(2z-20)

Solution for 3(2-z)=0.4(2z-20) equation:

Simplifying
3(2 + -1z) = 0.4(2z + -20)
(2 * 3 + -1z * 3) = 0.4(2z + -20)
(6 + -3z) = 0.4(2z + -20)

Reorder the terms:
6 + -3z = 0.4(-20 + 2z)
6 + -3z = (-20 * 0.4 + 2z * 0.4)
6 + -3z = (-8 + 0.8z)

Solving
6 + -3z = -8 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
6 + -3z + -0.8z = -8 + 0.8z + -0.8z

Combine like terms: -3z + -0.8z = -3.8z
6 + -3.8z = -8 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
6 + -3.8z = -8 + 0.0
6 + -3.8z = -8

Add '-6' to each side of the equation.
6 + -6 + -3.8z = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -3.8z = -8 + -6
-3.8z = -8 + -6

Combine like terms: -8 + -6 = -14
-3.8z = -14

Divide each side by '-3.8'.
z = 3.684210526

Simplifying
z = 3.684210526