x*0.85+(400-X)*0.15=260

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Solution for x*0.85+(400-X)*0.15=260 equation:


Simplifying
x * 0.85 + (400 + -1X) * 0.15 = 260

Reorder the terms for easier multiplication:
0.85x + (400 + -1X) * 0.15 = 260

Reorder the terms for easier multiplication:
0.85x + 0.15(400 + -1X) = 260
0.85x + (400 * 0.15 + -1X * 0.15) = 260
0.85x + (60 + -0.15X) = 260

Reorder the terms:
60 + -0.15X + 0.85x = 260

Solving
60 + -0.15X + 0.85x = 260

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 = 260 + -60

Reorder the terms:
60 + -60 + -0.15X + 0.85x = 260 + -60

Combine like terms: 60 + -60 = 0
0 + -0.15X + 0.85x = 260 + -60
-0.15X + 0.85x = 260 + -60

Combine like terms: 260 + -60 = 200
-0.15X + 0.85x = 200

Add '-0.85x' to each side of the equation.
-0.15X + 0.85x + -0.85x = 200 + -0.85x

Combine like terms: 0.85x + -0.85x = 0.00
-0.15X + 0.00 = 200 + -0.85x
-0.15X = 200 + -0.85x

Divide each side by '-0.15'.
X = -1333.333333 + 5.666666667x

Simplifying
X = -1333.333333 + 5.666666667x

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