0.6(x+70)+0.2x=58

Solution for 0.6(x+70)+0.2x=58 equation:

Simplifying
0.6(x + 70) + 0.2x = 58

Reorder the terms:
0.6(70 + x) + 0.2x = 58
(70 * 0.6 + x * 0.6) + 0.2x = 58
(42 + 0.6x) + 0.2x = 58

Combine like terms: 0.6x + 0.2x = 0.8x
42 + 0.8x = 58

Solving
42 + 0.8x = 58

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 0.8x = 58 + -42

Combine like terms: 42 + -42 = 0
0 + 0.8x = 58 + -42
0.8x = 58 + -42

Combine like terms: 58 + -42 = 16
0.8x = 16

Divide each side by '0.8'.
x = 20

Simplifying
x = 20