.45x+.5(12-x)=.10(-42)

Solution for .45x+.5(12-x)=.10(-42) equation:

Simplifying
0.45x + 0.5(12 + -1x) = 0.10(-42)
0.45x + (12 * 0.5 + -1x * 0.5) = 0.10(-42)
0.45x + (6 + -0.5x) = 0.10(-42)

Reorder the terms:
6 + 0.45x + -0.5x = 0.10(-42)

Combine like terms: 0.45x + -0.5x = -0.05x
6 + -0.05x = 0.10(-42)

Multiply 0.10 * -42
6 + -0.05x = -4.2

Solving
6 + -0.05x = -4.2

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 + -0.05x = -4.2 + -6

Combine like terms: 6 + -6 = 0
0 + -0.05x = -4.2 + -6
-0.05x = -4.2 + -6

Combine like terms: -4.2 + -6 = -10.2
-0.05x = -10.2

Divide each side by '-0.05'.
x = 204

Simplifying
x = 204