0.4(4x+8)=1.6-(x+2)

Solution for 0.4(4x+8)=1.6-(x+2) equation:

Simplifying
0.4(4x + 8) = 1.6 + -1(x + 2)

Reorder the terms:
0.4(8 + 4x) = 1.6 + -1(x + 2)
(8 * 0.4 + 4x * 0.4) = 1.6 + -1(x + 2)
(3.2 + 1.6x) = 1.6 + -1(x + 2)

Reorder the terms:
3.2 + 1.6x = 1.6 + -1(2 + x)
3.2 + 1.6x = 1.6 + (2 * -1 + x * -1)
3.2 + 1.6x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
3.2 + 1.6x = -0.4 + -1x

Solving
3.2 + 1.6x = -0.4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3.2 + 1.6x + x = -0.4 + -1x + x

Combine like terms: 1.6x + x = 2.6x
3.2 + 2.6x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
3.2 + 2.6x = -0.4 + 0
3.2 + 2.6x = -0.4

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 2.6x = -0.4 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 2.6x = -0.4 + -3.2
2.6x = -0.4 + -3.2

Combine like terms: -0.4 + -3.2 = -3.6
2.6x = -3.6

Divide each side by '2.6'.
x = -1.384615385

Simplifying
x = -1.384615385