(0)(x)+(.80)(1-x)=(.20)(1)

Solution for (0)(x)+(.80)(1-x)=(.20)(1) equation:

Simplifying
(0)(x) + (0.80)(1 + -1x) = (0.20)(1)

Anything times zero is zero.
0x + (0.80)(1 + -1x) = (0.20)(1)
0 + (1 * 0.80 + -1x * 0.80) = (0.20)(1)
0 + (0.8 + -0.8x) = (0.20)(1)

Combine like terms: 0 + 0.8 = 0.8
0.8 + -0.8x = (0.20)(1)

Multiply 0.20 * 1
0.8 + -0.8x = 0.2

Solving
0.8 + -0.8x = 0.2

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.8x = 0.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.8x = 0.2 + -0.8
-0.8x = 0.2 + -0.8

Combine like terms: 0.2 + -0.8 = -0.6
-0.8x = -0.6

Divide each side by '-0.8'.
x = 0.75

Simplifying
x = 0.75