0.35X+0.5(8-X)=.10(28)

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Solution for 0.35X+0.5(8-X)=.10(28) equation: 


Simplifying
0.35X + 0.5(8 + -1X) = 0.10(28)
0.35X + (8 * 0.5 + -1X * 0.5) = 0.10(28)
0.35X + (4 + -0.5X) = 0.10(28)

Reorder the terms:
4 + 0.35X + -0.5X = 0.10(28)

Combine like terms: 0.35X + -0.5X = -0.15X
4 + -0.15X = 0.10(28)

Multiply 0.10 * 28
4 + -0.15X = 2.8

Solving
4 + -0.15X = 2.8

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + -0.15X = 2.8 + -4

Combine like terms: 4 + -4 = 0
0 + -0.15X = 2.8 + -4
-0.15X = 2.8 + -4

Combine like terms: 2.8 + -4 = -1.2
-0.15X = -1.2

Divide each side by '-0.15'.
X = 8

Simplifying
X = 8

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