0.95x+0.5(12-x)=.10(24)

Solution for 0.95x+0.5(12-x)=.10(24) equation:

Simplifying
0.95x + 0.5(12 + -1x) = 0.10(24)
0.95x + (12 * 0.5 + -1x * 0.5) = 0.10(24)
0.95x + (6 + -0.5x) = 0.10(24)

Reorder the terms:
6 + 0.95x + -0.5x = 0.10(24)

Combine like terms: 0.95x + -0.5x = 0.45x
6 + 0.45x = 0.10(24)

Multiply 0.10 * 24
6 + 0.45x = 2.4

Solving
6 + 0.45x = 2.4

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 + 0.45x = 2.4 + -6

Combine like terms: 6 + -6 = 0
0 + 0.45x = 2.4 + -6
0.45x = 2.4 + -6

Combine like terms: 2.4 + -6 = -3.6
0.45x = -3.6

Divide each side by '0.45'.
x = -8

Simplifying
x = -8