-0.2(-x+6)+x=0.3(4-x)

Solution for -0.2(-x+6)+x=0.3(4-x) equation:

Simplifying
-0.2(-1x + 6) + x = 0.3(4 + -1x)

Reorder the terms:
-0.2(6 + -1x) + x = 0.3(4 + -1x)
(6 * -0.2 + -1x * -0.2) + x = 0.3(4 + -1x)
(-1.2 + 0.2x) + x = 0.3(4 + -1x)

Combine like terms: 0.2x + x = 1.2x
-1.2 + 1.2x = 0.3(4 + -1x)
-1.2 + 1.2x = (4 * 0.3 + -1x * 0.3)
-1.2 + 1.2x = (1.2 + -0.3x)

Solving
-1.2 + 1.2x = 1.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-1.2 + 1.2x + 0.3x = 1.2 + -0.3x + 0.3x

Combine like terms: 1.2x + 0.3x = 1.5x
-1.2 + 1.5x = 1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-1.2 + 1.5x = 1.2 + 0.0
-1.2 + 1.5x = 1.2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.5x = 1.2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.5x = 1.2 + 1.2
1.5x = 1.2 + 1.2

Combine like terms: 1.2 + 1.2 = 2.4
1.5x = 2.4

Divide each side by '1.5'.
x = 1.6

Simplifying
x = 1.6