1.4z-0.6=0.2(5+3z)

Solution for 1.4z-0.6=0.2(5+3z) equation:

Simplifying
1.4z + -0.6 = 0.2(5 + 3z)

Reorder the terms:
-0.6 + 1.4z = 0.2(5 + 3z)
-0.6 + 1.4z = (5 * 0.2 + 3z * 0.2)
-0.6 + 1.4z = (1 + 0.6z)

Solving
-0.6 + 1.4z = 1 + 0.6z

Solving for variable 'z'.

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

Add '-0.6z' to each side of the equation.
-0.6 + 1.4z + -0.6z = 1 + 0.6z + -0.6z

Combine like terms: 1.4z + -0.6z = 0.8z
-0.6 + 0.8z = 1 + 0.6z + -0.6z

Combine like terms: 0.6z + -0.6z = 0.0
-0.6 + 0.8z = 1 + 0.0
-0.6 + 0.8z = 1

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.8z = 1 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.8z = 1 + 0.6
0.8z = 1 + 0.6

Combine like terms: 1 + 0.6 = 1.6
0.8z = 1.6

Divide each side by '0.8'.
z = 2

Simplifying
z = 2