0.6(x-2)-0.4(3-x)-1.6=0

Solution for 0.6(x-2)-0.4(3-x)-1.6=0 equation:

Simplifying
0.6(x + -2) + -0.4(3 + -1x) + -1.6 = 0

Reorder the terms:
0.6(-2 + x) + -0.4(3 + -1x) + -1.6 = 0
(-2 * 0.6 + x * 0.6) + -0.4(3 + -1x) + -1.6 = 0
(-1.2 + 0.6x) + -0.4(3 + -1x) + -1.6 = 0
-1.2 + 0.6x + (3 * -0.4 + -1x * -0.4) + -1.6 = 0
-1.2 + 0.6x + (-1.2 + 0.4x) + -1.6 = 0

Reorder the terms:
-1.2 + -1.2 + -1.6 + 0.6x + 0.4x = 0

Combine like terms: -1.2 + -1.2 = -2.4
-2.4 + -1.6 + 0.6x + 0.4x = 0

Combine like terms: -2.4 + -1.6 = -4
-4 + 0.6x + 0.4x = 0

Combine like terms: 0.6x + 0.4x = 1x
-4 + 1x = 0

Solving
-4 + 1x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 0 + 4
1x = 0 + 4

Combine like terms: 0 + 4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4