0.2(x+30)+0.6x=22

Solution for 0.2(x+30)+0.6x=22 equation:

Simplifying
0.2(x + 30) + 0.6x = 22

Reorder the terms:
0.2(30 + x) + 0.6x = 22
(30 * 0.2 + x * 0.2) + 0.6x = 22
(6 + 0.2x) + 0.6x = 22

Combine like terms: 0.2x + 0.6x = 0.8x
6 + 0.8x = 22

Solving
6 + 0.8x = 22

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.8x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 0.8x = 22 + -6
0.8x = 22 + -6

Combine like terms: 22 + -6 = 16
0.8x = 16

Divide each side by '0.8'.
x = 20

Simplifying
x = 20