900000=X-[0.5*0.4*(X-1000)]

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Solution for 900000=X-[0.5*0.4*(X-1000)] equation: 


Simplifying
900000 = X + -1[0.5 * 0.4(X + -1000)]

Reorder the terms:
900000 = X + -1[0.5 * 0.4(-1000 + X)]

Multiply 0.5 * 0.4
900000 = X + -1[0.2(-1000 + X)]
900000 = X + -1[(-1000 * 0.2 + X * 0.2)]
900000 = X + -1[(-200 + 0.2X)]
900000 = X + [-200 * -1 + 0.2X * -1]
900000 = X + [200 + -0.2X]

Reorder the terms:
900000 = 200 + X + -0.2X

Combine like terms: X + -0.2X = 0.8X
900000 = 200 + 0.8X

Solving
900000 = 200 + 0.8X

Solving for variable 'X'.

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

Add '-0.8X' to each side of the equation.
900000 + -0.8X = 200 + 0.8X + -0.8X

Combine like terms: 0.8X + -0.8X = 0.0
900000 + -0.8X = 200 + 0.0
900000 + -0.8X = 200

Add '-900000' to each side of the equation.
900000 + -900000 + -0.8X = 200 + -900000

Combine like terms: 900000 + -900000 = 0
0 + -0.8X = 200 + -900000
-0.8X = 200 + -900000

Combine like terms: 200 + -900000 = -899800
-0.8X = -899800

Divide each side by '-0.8'.
X = 1124750

Simplifying
X = 1124750

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