.4X+.25(100-X)=220000*.32

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Solution for .4X+.25(100-X)=220000*.32 equation: 


Simplifying
0.4X + 0.25(100 + -1X) = 220000 * 0.32
0.4X + (100 * 0.25 + -1X * 0.25) = 220000 * 0.32
0.4X + (25 + -0.25X) = 220000 * 0.32

Reorder the terms:
25 + 0.4X + -0.25X = 220000 * 0.32

Combine like terms: 0.4X + -0.25X = 0.15X
25 + 0.15X = 220000 * 0.32

Multiply 220000 * 0.32
25 + 0.15X = 70400

Solving
25 + 0.15X = 70400

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + -25 + 0.15X = 70400 + -25

Combine like terms: 25 + -25 = 0
0 + 0.15X = 70400 + -25
0.15X = 70400 + -25

Combine like terms: 70400 + -25 = 70375
0.15X = 70375

Divide each side by '0.15'.
X = 469166.6667

Simplifying
X = 469166.6667

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