0.2[x+8]=0.8x-0.2

Solution for 0.2[x+8]=0.8x-0.2 equation:

Simplifying
0.2[x + 8] = 0.8x + -0.2

Reorder the terms:
0.2[8 + x] = 0.8x + -0.2
[8 * 0.2 + x * 0.2] = 0.8x + -0.2
[1.6 + 0.2x] = 0.8x + -0.2

Reorder the terms:
1.6 + 0.2x = -0.2 + 0.8x

Solving
1.6 + 0.2x = -0.2 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
1.6 + 0.2x + -0.8x = -0.2 + 0.8x + -0.8x

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

Combine like terms: 0.8x + -0.8x = 0.0
1.6 + -0.6x = -0.2 + 0.0
1.6 + -0.6x = -0.2

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

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.6x = -0.2 + -1.6
-0.6x = -0.2 + -1.6

Combine like terms: -0.2 + -1.6 = -1.8
-0.6x = -1.8

Divide each side by '-0.6'.
x = 3

Simplifying
x = 3