500=x(1-0.8)

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Solution for 500=x(1-0.8) equation:


Simplifying
500 = x(1 + -0.8)

Combine like terms: 1 + -0.8 = 0.2
500 = x(0.2)

Reorder the terms for easier multiplication:
500 = 0.2x

Solving
500 = 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
500 + -0.2x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
500 + -0.2x = 0.0

Add '-500' to each side of the equation.
500 + -500 + -0.2x = 0.0 + -500

Combine like terms: 500 + -500 = 0
0 + -0.2x = 0.0 + -500
-0.2x = 0.0 + -500

Combine like terms: 0.0 + -500 = -500
-0.2x = -500

Divide each side by '-0.2'.
x = 2500

Simplifying
x = 2500

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