0.4x-0.2(6-x)=2.1

Solution for 0.4x-0.2(6-x)=2.1 equation:

Simplifying
0.4x + -0.2(6 + -1x) = 2.1
0.4x + (6 * -0.2 + -1x * -0.2) = 2.1
0.4x + (-1.2 + 0.2x) = 2.1

Reorder the terms:
-1.2 + 0.4x + 0.2x = 2.1

Combine like terms: 0.4x + 0.2x = 0.6x
-1.2 + 0.6x = 2.1

Solving
-1.2 + 0.6x = 2.1

Solving for variable 'x'.

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.6x = 2.1 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.6x = 2.1 + 1.2
0.6x = 2.1 + 1.2

Combine like terms: 2.1 + 1.2 = 3.3
0.6x = 3.3

Divide each side by '0.6'.
x = 5.5

Simplifying
x = 5.5