3.50x+5.50(417-x)=1665.50

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Solution for 3.50x+5.50(417-x)=1665.50 equation: 


Simplifying
3.50x + 5.50(417 + -1x) = 1665.50
3.50x + (417 * 5.50 + -1x * 5.50) = 1665.50
3.50x + (2293.5 + -5.5x) = 1665.50

Reorder the terms:
2293.5 + 3.50x + -5.5x = 1665.50

Combine like terms: 3.50x + -5.5x = -2x
2293.5 + -2x = 1665.50

Solving
2293.5 + -2x = 1665.50

Solving for variable 'x'.

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

Add '-2293.5' to each side of the equation.
2293.5 + -2293.5 + -2x = 1665.50 + -2293.5

Combine like terms: 2293.5 + -2293.5 = 0.0
0.0 + -2x = 1665.50 + -2293.5
-2x = 1665.50 + -2293.5

Combine like terms: 1665.50 + -2293.5 = -628
-2x = -628

Divide each side by '-2'.
x = 314

Simplifying
x = 314

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