0.2(x-3)+0.4(x+1)=1.6

Solution for 0.2(x-3)+0.4(x+1)=1.6 equation:

Simplifying
0.2(x + -3) + 0.4(x + 1) = 1.6

Reorder the terms:
0.2(-3 + x) + 0.4(x + 1) = 1.6
(-3 * 0.2 + x * 0.2) + 0.4(x + 1) = 1.6
(-0.6 + 0.2x) + 0.4(x + 1) = 1.6

Reorder the terms:
-0.6 + 0.2x + 0.4(1 + x) = 1.6
-0.6 + 0.2x + (1 * 0.4 + x * 0.4) = 1.6
-0.6 + 0.2x + (0.4 + 0.4x) = 1.6

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

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

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

Solving
-0.2 + 0.6x = 1.6

Solving for variable 'x'.

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

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

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.6x = 1.6 + 0.2
0.6x = 1.6 + 0.2

Combine like terms: 1.6 + 0.2 = 1.8
0.6x = 1.8

Divide each side by '0.6'.
x = 3

Simplifying
x = 3