0.8x-0.2(8-2x)=-0.4(x-4)

Solution for 0.8x-0.2(8-2x)=-0.4(x-4) equation:

Simplifying
0.8x + -0.2(8 + -2x) = -0.4(x + -4)
0.8x + (8 * -0.2 + -2x * -0.2) = -0.4(x + -4)
0.8x + (-1.6 + 0.4x) = -0.4(x + -4)

Reorder the terms:
-1.6 + 0.8x + 0.4x = -0.4(x + -4)

Combine like terms: 0.8x + 0.4x = 1.2x
-1.6 + 1.2x = -0.4(x + -4)

Reorder the terms:
-1.6 + 1.2x = -0.4(-4 + x)
-1.6 + 1.2x = (-4 * -0.4 + x * -0.4)
-1.6 + 1.2x = (1.6 + -0.4x)

Solving
-1.6 + 1.2x = 1.6 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-1.6 + 1.2x + 0.4x = 1.6 + -0.4x + 0.4x

Combine like terms: 1.2x + 0.4x = 1.6x
-1.6 + 1.6x = 1.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1.6 + 1.6x = 1.6 + 0.0
-1.6 + 1.6x = 1.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.6x = 1.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.6x = 1.6 + 1.6
1.6x = 1.6 + 1.6

Combine like terms: 1.6 + 1.6 = 3.2
1.6x = 3.2

Divide each side by '1.6'.
x = 2

Simplifying
x = 2