.05x+.25(24-x)=1.6

Solution for .05x+.25(24-x)=1.6 equation:

Simplifying
0.05x + 0.25(24 + -1x) = 1.6
0.05x + (24 * 0.25 + -1x * 0.25) = 1.6
0.05x + (6 + -0.25x) = 1.6

Reorder the terms:
6 + 0.05x + -0.25x = 1.6

Combine like terms: 0.05x + -0.25x = -0.2x
6 + -0.2x = 1.6

Solving
6 + -0.2x = 1.6

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 + -0.2x = 1.6 + -6

Combine like terms: 6 + -6 = 0
0 + -0.2x = 1.6 + -6
-0.2x = 1.6 + -6

Combine like terms: 1.6 + -6 = -4.4
-0.2x = -4.4

Divide each side by '-0.2'.
x = 22

Simplifying
x = 22