440=0.5x+0.4(10000-x)

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Solution for 440=0.5x+0.4(10000-x) equation: 


Simplifying
440 = 0.5x + 0.4(10000 + -1x)
440 = 0.5x + (10000 * 0.4 + -1x * 0.4)
440 = 0.5x + (4000 + -0.4x)

Reorder the terms:
440 = 4000 + 0.5x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
440 = 4000 + 0.1x

Solving
440 = 4000 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
440 + -0.1x = 4000 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
440 + -0.1x = 4000 + 0.0
440 + -0.1x = 4000

Add '-440' to each side of the equation.
440 + -440 + -0.1x = 4000 + -440

Combine like terms: 440 + -440 = 0
0 + -0.1x = 4000 + -440
-0.1x = 4000 + -440

Combine like terms: 4000 + -440 = 3560
-0.1x = 3560

Divide each side by '-0.1'.
x = -35600

Simplifying
x = -35600

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