3.5x+5.5(445-x)=1909.5

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Solution for 3.5x+5.5(445-x)=1909.5 equation: 


Simplifying
3.5x + 5.5(445 + -1x) = 1909.5
3.5x + (445 * 5.5 + -1x * 5.5) = 1909.5
3.5x + (2447.5 + -5.5x) = 1909.5

Reorder the terms:
2447.5 + 3.5x + -5.5x = 1909.5

Combine like terms: 3.5x + -5.5x = -2x
2447.5 + -2x = 1909.5

Solving
2447.5 + -2x = 1909.5

Solving for variable 'x'.

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

Add '-2447.5' to each side of the equation.
2447.5 + -2447.5 + -2x = 1909.5 + -2447.5

Combine like terms: 2447.5 + -2447.5 = 0.0
0.0 + -2x = 1909.5 + -2447.5
-2x = 1909.5 + -2447.5

Combine like terms: 1909.5 + -2447.5 = -538
-2x = -538

Divide each side by '-2'.
x = 269

Simplifying
x = 269

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