0.2(3-x)-0.3(x-2)=0.1x

Solution for 0.2(3-x)-0.3(x-2)=0.1x equation:

Simplifying
0.2(3 + -1x) + -0.3(x + -2) = 0.1x
(3 * 0.2 + -1x * 0.2) + -0.3(x + -2) = 0.1x
(0.6 + -0.2x) + -0.3(x + -2) = 0.1x

Reorder the terms:
0.6 + -0.2x + -0.3(-2 + x) = 0.1x
0.6 + -0.2x + (-2 * -0.3 + x * -0.3) = 0.1x
0.6 + -0.2x + (0.6 + -0.3x) = 0.1x

Reorder the terms:
0.6 + 0.6 + -0.2x + -0.3x = 0.1x

Combine like terms: 0.6 + 0.6 = 1.2
1.2 + -0.2x + -0.3x = 0.1x

Combine like terms: -0.2x + -0.3x = -0.5x
1.2 + -0.5x = 0.1x

Solving
1.2 + -0.5x = 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
1.2 + -0.5x + -0.1x = 0.1x + -0.1x

Combine like terms: -0.5x + -0.1x = -0.6x
1.2 + -0.6x = 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
1.2 + -0.6x = 0.0

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -0.6x = 0.0 + -1.2

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

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

Divide each side by '-0.6'.
x = 2

Simplifying
x = 2