x=0.5(1000-x)

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Solution for x=0.5(1000-x) equation: 


Simplifying
x = 0.5(1000 + -1x)
x = (1000 * 0.5 + -1x * 0.5)
x = (500 + -0.5x)

Solving
x = 500 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
x + 0.5x = 500 + -0.5x + 0.5x

Combine like terms: x + 0.5x = 1.5x
1.5x = 500 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
1.5x = 500 + 0.0
1.5x = 500

Divide each side by '1.5'.
x = 333.3333333

Simplifying
x = 333.3333333

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