x*0.85+(400-X)*0.15=x

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Solution for x*0.85+(400-X)*0.15=x equation: 


Simplifying
x * 0.85 + (400 + -1X) * 0.15 = x

Reorder the terms for easier multiplication:
0.85x + (400 + -1X) * 0.15 = x

Reorder the terms for easier multiplication:
0.85x + 0.15(400 + -1X) = x
0.85x + (400 * 0.15 + -1X * 0.15) = x
0.85x + (60 + -0.15X) = x

Reorder the terms:
60 + -0.15X + 0.85x = x

Solving
60 + -0.15X + 0.85x = x

Solving for variable 'X'.

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

Add '-60' to each side of the equation.
60 + -0.15X + -60 + 0.85x = -60 + x

Reorder the terms:
60 + -60 + -0.15X + 0.85x = -60 + x

Combine like terms: 60 + -60 = 0
0 + -0.15X + 0.85x = -60 + x
-0.15X + 0.85x = -60 + x

Add '-0.85x' to each side of the equation.
-0.15X + 0.85x + -0.85x = -60 + x + -0.85x

Combine like terms: 0.85x + -0.85x = 0.00
-0.15X + 0.00 = -60 + x + -0.85x
-0.15X = -60 + x + -0.85x

Combine like terms: x + -0.85x = 0.15x
-0.15X = -60 + 0.15x

Divide each side by '-0.15'.
X = 400 + -1x

Simplifying
X = 400 + -1x

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