0.8(x+4)+0.2x=5.2

Solution for 0.8(x+4)+0.2x=5.2 equation:

Simplifying
0.8(x + 4) + 0.2x = 5.2

Reorder the terms:
0.8(4 + x) + 0.2x = 5.2
(4 * 0.8 + x * 0.8) + 0.2x = 5.2
(3.2 + 0.8x) + 0.2x = 5.2

Combine like terms: 0.8x + 0.2x = 1x
3.2 + 1x = 5.2

Solving
3.2 + 1x = 5.2

Solving for variable 'x'.

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

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1x = 5.2 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1x = 5.2 + -3.2
1x = 5.2 + -3.2

Combine like terms: 5.2 + -3.2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2