0.2(x+3)-(2x-3)=3.4

Solution for 0.2(x+3)-(2x-3)=3.4 equation:

Simplifying
0.2(x + 3) + -1(2x + -3) = 3.4

Reorder the terms:
0.2(3 + x) + -1(2x + -3) = 3.4
(3 * 0.2 + x * 0.2) + -1(2x + -3) = 3.4
(0.6 + 0.2x) + -1(2x + -3) = 3.4

Reorder the terms:
0.6 + 0.2x + -1(-3 + 2x) = 3.4
0.6 + 0.2x + (-3 * -1 + 2x * -1) = 3.4
0.6 + 0.2x + (3 + -2x) = 3.4

Reorder the terms:
0.6 + 3 + 0.2x + -2x = 3.4

Combine like terms: 0.6 + 3 = 3.6
3.6 + 0.2x + -2x = 3.4

Combine like terms: 0.2x + -2x = -1.8x
3.6 + -1.8x = 3.4

Solving
3.6 + -1.8x = 3.4

Solving for variable 'x'.

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

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -1.8x = 3.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -1.8x = 3.4 + -3.6
-1.8x = 3.4 + -3.6

Combine like terms: 3.4 + -3.6 = -0.2
-1.8x = -0.2

Divide each side by '-1.8'.
x = 0.1111111111

Simplifying
x = 0.1111111111