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

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

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

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

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

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

Solving
0.6 + -0.2x = -0.3 + 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.
0.6 + -0.2x + -0.1x = -0.3 + 0.1x + -0.1x

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

Combine like terms: 0.1x + -0.1x = 0.0
0.6 + -0.3x = -0.3 + 0.0
0.6 + -0.3x = -0.3

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.3x = -0.3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.3x = -0.3 + -0.6
-0.3x = -0.3 + -0.6

Combine like terms: -0.3 + -0.6 = -0.9
-0.3x = -0.9

Divide each side by '-0.3'.
x = 3

Simplifying
x = 3