.10x+.25(24-x)=4.5

Solution for .10x+.25(24-x)=4.5 equation:

Simplifying
0.10x + 0.25(24 + -1x) = 4.5
0.10x + (24 * 0.25 + -1x * 0.25) = 4.5
0.10x + (6 + -0.25x) = 4.5

Reorder the terms:
6 + 0.10x + -0.25x = 4.5

Combine like terms: 0.10x + -0.25x = -0.15x
6 + -0.15x = 4.5

Solving
6 + -0.15x = 4.5

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 + -0.15x = 4.5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.15x = 4.5 + -6
-0.15x = 4.5 + -6

Combine like terms: 4.5 + -6 = -1.5
-0.15x = -1.5

Divide each side by '-0.15'.
x = 10

Simplifying
x = 10