730=500x+200(200-x)

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Solution for 730=500x+200(200-x) equation: 


Simplifying
730 = 500x + 200(200 + -1x)
730 = 500x + (200 * 200 + -1x * 200)
730 = 500x + (40000 + -200x)

Reorder the terms:
730 = 40000 + 500x + -200x

Combine like terms: 500x + -200x = 300x
730 = 40000 + 300x

Solving
730 = 40000 + 300x

Solving for variable 'x'.

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

Add '-300x' to each side of the equation.
730 + -300x = 40000 + 300x + -300x

Combine like terms: 300x + -300x = 0
730 + -300x = 40000 + 0
730 + -300x = 40000

Add '-730' to each side of the equation.
730 + -730 + -300x = 40000 + -730

Combine like terms: 730 + -730 = 0
0 + -300x = 40000 + -730
-300x = 40000 + -730

Combine like terms: 40000 + -730 = 39270
-300x = 39270

Divide each side by '-300'.
x = -130.9

Simplifying
x = -130.9

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