.6(x+70)+x=106

Solution for .6(x+70)+x=106 equation:

Simplifying
0.6(x + 70) + x = 106

Reorder the terms:
0.6(70 + x) + x = 106
(70 * 0.6 + x * 0.6) + x = 106
(42 + 0.6x) + x = 106

Combine like terms: 0.6x + x = 1.6x
42 + 1.6x = 106

Solving
42 + 1.6x = 106

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 + 1.6x = 106 + -42

Combine like terms: 42 + -42 = 0
0 + 1.6x = 106 + -42
1.6x = 106 + -42

Combine like terms: 106 + -42 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40