0.6(x+100)+0.4x=85

Solution for 0.6(x+100)+0.4x=85 equation:

Simplifying
0.6(x + 100) + 0.4x = 85

Reorder the terms:
0.6(100 + x) + 0.4x = 85
(100 * 0.6 + x * 0.6) + 0.4x = 85
(60 + 0.6x) + 0.4x = 85

Combine like terms: 0.6x + 0.4x = 1x
60 + 1x = 85

Solving
60 + 1x = 85

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 1x = 85 + -60

Combine like terms: 60 + -60 = 0
0 + 1x = 85 + -60
1x = 85 + -60

Combine like terms: 85 + -60 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25