0.6a-1.6=0.2a+0.4

Solution for 0.6a-1.6=0.2a+0.4 equation:

Simplifying
0.6a + -1.6 = 0.2a + 0.4

Reorder the terms:
-1.6 + 0.6a = 0.2a + 0.4

Reorder the terms:
-1.6 + 0.6a = 0.4 + 0.2a

Solving
-1.6 + 0.6a = 0.4 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
-1.6 + 0.6a + -0.2a = 0.4 + 0.2a + -0.2a

Combine like terms: 0.6a + -0.2a = 0.4a
-1.6 + 0.4a = 0.4 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
-1.6 + 0.4a = 0.4 + 0.0
-1.6 + 0.4a = 0.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.4a = 0.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.4a = 0.4 + 1.6
0.4a = 0.4 + 1.6

Combine like terms: 0.4 + 1.6 = 2
0.4a = 2

Divide each side by '0.4'.
a = 5

Simplifying
a = 5