.50x+.05(4-x)=.10(-16)

Solution for .50x+.05(4-x)=.10(-16) equation:

Simplifying
0.50x + 0.05(4 + -1x) = 0.10(-16)
0.50x + (4 * 0.05 + -1x * 0.05) = 0.10(-16)
0.50x + (0.2 + -0.05x) = 0.10(-16)

Reorder the terms:
0.2 + 0.50x + -0.05x = 0.10(-16)

Combine like terms: 0.50x + -0.05x = 0.45x
0.2 + 0.45x = 0.10(-16)

Multiply 0.10 * -16
0.2 + 0.45x = -1.6

Solving
0.2 + 0.45x = -1.6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.45x = -1.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.45x = -1.6 + -0.2
0.45x = -1.6 + -0.2

Combine like terms: -1.6 + -0.2 = -1.8
0.45x = -1.8

Divide each side by '0.45'.
x = -4

Simplifying
x = -4