0.10x+0.25(24+x)=4.50

Solution for 0.10x+0.25(24+x)=4.50 equation:

Simplifying
0.10x + 0.25(24 + x) = 4.50
0.10x + (24 * 0.25 + x * 0.25) = 4.50
0.10x + (6 + 0.25x) = 4.50

Reorder the terms:
6 + 0.10x + 0.25x = 4.50

Combine like terms: 0.10x + 0.25x = 0.35x
6 + 0.35x = 4.50

Solving
6 + 0.35x = 4.50

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 + 0.35x = 4.50 + -6

Combine like terms: 6 + -6 = 0
0 + 0.35x = 4.50 + -6
0.35x = 4.50 + -6

Combine like terms: 4.50 + -6 = -1.5
0.35x = -1.5

Divide each side by '0.35'.
x = -4.285714286

Simplifying
x = -4.285714286