440=0.5+0.4(10000-x)

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


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

Combine like terms: 0.5 + 4000 = 4000.5
440 = 4000.5 + -0.4x

Solving
440 = 4000.5 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
440 + 0.4x = 4000.5 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
440 + 0.4x = 4000.5 + 0.0
440 + 0.4x = 4000.5

Add '-440' to each side of the equation.
440 + -440 + 0.4x = 4000.5 + -440

Combine like terms: 440 + -440 = 0
0 + 0.4x = 4000.5 + -440
0.4x = 4000.5 + -440

Combine like terms: 4000.5 + -440 = 3560.5
0.4x = 3560.5

Divide each side by '0.4'.
x = 8901.25

Simplifying
x = 8901.25

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