.4(2x+8)=.3-(x-3)

Solution for .4(2x+8)=.3-(x-3) equation:

Simplifying
0.4(2x + 8) = 0.3 + -1(x + -3)

Reorder the terms:
0.4(8 + 2x) = 0.3 + -1(x + -3)
(8 * 0.4 + 2x * 0.4) = 0.3 + -1(x + -3)
(3.2 + 0.8x) = 0.3 + -1(x + -3)

Reorder the terms:
3.2 + 0.8x = 0.3 + -1(-3 + x)
3.2 + 0.8x = 0.3 + (-3 * -1 + x * -1)
3.2 + 0.8x = 0.3 + (3 + -1x)

Combine like terms: 0.3 + 3 = 3.3
3.2 + 0.8x = 3.3 + -1x

Solving
3.2 + 0.8x = 3.3 + -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 + 0.8x + x = 3.3 + -1x + x

Combine like terms: 0.8x + x = 1.8x
3.2 + 1.8x = 3.3 + -1x + x

Combine like terms: -1x + x = 0
3.2 + 1.8x = 3.3 + 0
3.2 + 1.8x = 3.3

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1.8x = 3.3 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.8x = 3.3 + -3.2
1.8x = 3.3 + -3.2

Combine like terms: 3.3 + -3.2 = 0.1
1.8x = 0.1

Divide each side by '1.8'.
x = 0.05555555556

Simplifying
x = 0.05555555556