10.98*x+27.98*(20-x)=355.60

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Solution for 10.98*x+27.98*(20-x)=355.60 equation: 


Simplifying
10.98x + 27.98(20 + -1x) = 355.60
10.98x + (20 * 27.98 + -1x * 27.98) = 355.60
10.98x + (559.6 + -27.98x) = 355.60

Reorder the terms:
559.6 + 10.98x + -27.98x = 355.60

Combine like terms: 10.98x + -27.98x = -17x
559.6 + -17x = 355.60

Solving
559.6 + -17x = 355.60

Solving for variable 'x'.

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

Add '-559.6' to each side of the equation.
559.6 + -559.6 + -17x = 355.60 + -559.6

Combine like terms: 559.6 + -559.6 = 0.0
0.0 + -17x = 355.60 + -559.6
-17x = 355.60 + -559.6

Combine like terms: 355.60 + -559.6 = -204
-17x = -204

Divide each side by '-17'.
x = 12

Simplifying
x = 12

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