250=x(500)-100000(1-x)

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Solution for 250=x(500)-100000(1-x) equation:


Simplifying
250 = x(500) + -100000(1 + -1x)

Reorder the terms for easier multiplication:
250 = 500x + -100000(1 + -1x)
250 = 500x + (1 * -100000 + -1x * -100000)
250 = 500x + (-100000 + 100000x)

Reorder the terms:
250 = -100000 + 500x + 100000x

Combine like terms: 500x + 100000x = 100500x
250 = -100000 + 100500x

Solving
250 = -100000 + 100500x

Solving for variable 'x'.

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

Add '-100500x' to each side of the equation.
250 + -100500x = -100000 + 100500x + -100500x

Combine like terms: 100500x + -100500x = 0
250 + -100500x = -100000 + 0
250 + -100500x = -100000

Add '-250' to each side of the equation.
250 + -250 + -100500x = -100000 + -250

Combine like terms: 250 + -250 = 0
0 + -100500x = -100000 + -250
-100500x = -100000 + -250

Combine like terms: -100000 + -250 = -100250
-100500x = -100250

Divide each side by '-100500'.
x = 0.9975124378

Simplifying
x = 0.9975124378

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