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

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

Simplifying
0.2(x + 3) = 0.2 + 3(0.1 + -1x)

Reorder the terms:
0.2(3 + x) = 0.2 + 3(0.1 + -1x)
(3 * 0.2 + x * 0.2) = 0.2 + 3(0.1 + -1x)
(0.6 + 0.2x) = 0.2 + 3(0.1 + -1x)
0.6 + 0.2x = 0.2 + (0.1 * 3 + -1x * 3)
0.6 + 0.2x = 0.2 + (0.3 + -3x)

Combine like terms: 0.2 + 0.3 = 0.5
0.6 + 0.2x = 0.5 + -3x

Solving
0.6 + 0.2x = 0.5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
0.6 + 0.2x + 3x = 0.5 + -3x + 3x

Combine like terms: 0.2x + 3x = 3.2x
0.6 + 3.2x = 0.5 + -3x + 3x

Combine like terms: -3x + 3x = 0
0.6 + 3.2x = 0.5 + 0
0.6 + 3.2x = 0.5

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 3.2x = 0.5 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 3.2x = 0.5 + -0.6
3.2x = 0.5 + -0.6

Combine like terms: 0.5 + -0.6 = -0.1
3.2x = -0.1

Divide each side by '3.2'.
x = -0.03125

Simplifying
x = -0.03125