0.20(x+70)+1.40x=78

Solution for 0.20(x+70)+1.40x=78 equation:

Simplifying
0.20(x + 70) + 1.40x = 78

Reorder the terms:
0.20(70 + x) + 1.40x = 78
(70 * 0.20 + x * 0.20) + 1.40x = 78
(14 + 0.20x) + 1.40x = 78

Combine like terms: 0.20x + 1.40x = 1.6x
14 + 1.6x = 78

Solving
14 + 1.6x = 78

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1.6x = 78 + -14

Combine like terms: 14 + -14 = 0
0 + 1.6x = 78 + -14
1.6x = 78 + -14

Combine like terms: 78 + -14 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40