0.85x+0.5(20-x)=.10(90)

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Solution for 0.85x+0.5(20-x)=.10(90) equation: 


Simplifying
0.85x + 0.5(20 + -1x) = 0.10(90)
0.85x + (20 * 0.5 + -1x * 0.5) = 0.10(90)
0.85x + (10 + -0.5x) = 0.10(90)

Reorder the terms:
10 + 0.85x + -0.5x = 0.10(90)

Combine like terms: 0.85x + -0.5x = 0.35x
10 + 0.35x = 0.10(90)

Multiply 0.10 * 90
10 + 0.35x = 9

Solving
10 + 0.35x = 9

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.35x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 0.35x = 9 + -10
0.35x = 9 + -10

Combine like terms: 9 + -10 = -1
0.35x = -1

Divide each side by '0.35'.
x = -2.857142857

Simplifying
x = -2.857142857

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