0.4x-0.1(16-2x)=-0.2(x-8)

Solution for 0.4x-0.1(16-2x)=-0.2(x-8) equation:

Simplifying
0.4x + -0.1(16 + -2x) = -0.2(x + -8)
0.4x + (16 * -0.1 + -2x * -0.1) = -0.2(x + -8)
0.4x + (-1.6 + 0.2x) = -0.2(x + -8)

Reorder the terms:
-1.6 + 0.4x + 0.2x = -0.2(x + -8)

Combine like terms: 0.4x + 0.2x = 0.6x
-1.6 + 0.6x = -0.2(x + -8)

Reorder the terms:
-1.6 + 0.6x = -0.2(-8 + x)
-1.6 + 0.6x = (-8 * -0.2 + x * -0.2)
-1.6 + 0.6x = (1.6 + -0.2x)

Solving
-1.6 + 0.6x = 1.6 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.6 + 0.6x + 0.2x = 1.6 + -0.2x + 0.2x

Combine like terms: 0.6x + 0.2x = 0.8x
-1.6 + 0.8x = 1.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.6 + 0.8x = 1.6 + 0.0
-1.6 + 0.8x = 1.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.8x = 1.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.8x = 1.6 + 1.6
0.8x = 1.6 + 1.6

Combine like terms: 1.6 + 1.6 = 3.2
0.8x = 3.2

Divide each side by '0.8'.
x = 4

Simplifying
x = 4