X+(.50)(10-X)=(.85)(10)

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Solution for X+(.50)(10-X)=(.85)(10) equation: 


Simplifying
X + (0.50)(10 + -1X) = (0.85)(10)
X + (10 * 0.50 + -1X * 0.50) = (0.85)(10)
X + (5 + -0.5X) = (0.85)(10)

Reorder the terms:
5 + X + -0.5X = (0.85)(10)

Combine like terms: X + -0.5X = 0.5X
5 + 0.5X = (0.85)(10)

Multiply 0.85 * 10
5 + 0.5X = 8.5

Solving
5 + 0.5X = 8.5

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -5 + 0.5X = 8.5 + -5

Combine like terms: 5 + -5 = 0
0 + 0.5X = 8.5 + -5
0.5X = 8.5 + -5

Combine like terms: 8.5 + -5 = 3.5
0.5X = 3.5

Divide each side by '0.5'.
X = 7

Simplifying
X = 7

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