10.811=(10.013)(x)+(11.009)(1-x)

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Solution for 10.811=(10.013)(x)+(11.009)(1-x) equation: 


Simplifying
10.811 = (10.013)(x) + (11.009)(1 + -1x)
10.811 = 10.013x + (1 * 11.009 + -1x * 11.009)
10.811 = 10.013x + (11.009 + -11.009x)

Reorder the terms:
10.811 = 11.009 + 10.013x + -11.009x

Combine like terms: 10.013x + -11.009x = -0.996x
10.811 = 11.009 + -0.996x

Solving
10.811 = 11.009 + -0.996x

Solving for variable 'x'.

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

Add '0.996x' to each side of the equation.
10.811 + 0.996x = 11.009 + -0.996x + 0.996x

Combine like terms: -0.996x + 0.996x = 0.000
10.811 + 0.996x = 11.009 + 0.000
10.811 + 0.996x = 11.009

Add '-10.811' to each side of the equation.
10.811 + -10.811 + 0.996x = 11.009 + -10.811

Combine like terms: 10.811 + -10.811 = 0.000
0.000 + 0.996x = 11.009 + -10.811
0.996x = 11.009 + -10.811

Combine like terms: 11.009 + -10.811 = 0.198
0.996x = 0.198

Divide each side by '0.996'.
x = 0.1987951807

Simplifying
x = 0.1987951807

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