20.5=33.5x+(50*0.2316(1-x))

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Solution for 20.5=33.5x+(50*0.2316(1-x)) equation: 


Simplifying
20.5 = 33.5x + (50 * 0.2316(1 + -1x))

Multiply 50 * 0.2316
20.5 = 33.5x + (11.58(1 + -1x))
20.5 = 33.5x + ((1 * 11.58 + -1x * 11.58))
20.5 = 33.5x + ((11.58 + -11.58x))
20.5 = 33.5x + (11.58 + -11.58x)

Remove parenthesis around (11.58 + -11.58x)
20.5 = 33.5x + 11.58 + -11.58x

Reorder the terms:
20.5 = 11.58 + 33.5x + -11.58x

Combine like terms: 33.5x + -11.58x = 21.92x
20.5 = 11.58 + 21.92x

Solving
20.5 = 11.58 + 21.92x

Solving for variable 'x'.

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

Add '-21.92x' to each side of the equation.
20.5 + -21.92x = 11.58 + 21.92x + -21.92x

Combine like terms: 21.92x + -21.92x = 0.00
20.5 + -21.92x = 11.58 + 0.00
20.5 + -21.92x = 11.58

Add '-20.5' to each side of the equation.
20.5 + -20.5 + -21.92x = 11.58 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -21.92x = 11.58 + -20.5
-21.92x = 11.58 + -20.5

Combine like terms: 11.58 + -20.5 = -8.92
-21.92x = -8.92

Divide each side by '-21.92'.
x = 0.4069343066

Simplifying
x = 0.4069343066

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