440(0.70x+0.15(440-x))=440(0.60(440))

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Solution for 440(0.70x+0.15(440-x))=440(0.60(440)) equation: 


Simplifying
440(0.70x + 0.15(440 + -1x)) = 440(0.60(440))
440(0.70x + (440 * 0.15 + -1x * 0.15)) = 440(0.60(440))
440(0.70x + (66 + -0.15x)) = 440(0.60(440))

Reorder the terms:
440(66 + 0.70x + -0.15x) = 440(0.60(440))

Combine like terms: 0.70x + -0.15x = 0.55x
440(66 + 0.55x) = 440(0.60(440))
(66 * 440 + 0.55x * 440) = 440(0.60(440))
(29040 + 242x) = 440(0.60(440))

Multiply 0.60 * 440
29040 + 242x = 440(264)

Multiply 440 * 264
29040 + 242x = 116160

Solving
29040 + 242x = 116160

Solving for variable 'x'.

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

Add '-29040' to each side of the equation.
29040 + -29040 + 242x = 116160 + -29040

Combine like terms: 29040 + -29040 = 0
0 + 242x = 116160 + -29040
242x = 116160 + -29040

Combine like terms: 116160 + -29040 = 87120
242x = 87120

Divide each side by '242'.
x = 360

Simplifying
x = 360

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