0.45x+0.20(280-x)=77.25

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Solution for 0.45x+0.20(280-x)=77.25 equation: 


Simplifying
0.45x + 0.20(280 + -1x) = 77.25
0.45x + (280 * 0.20 + -1x * 0.20) = 77.25
0.45x + (56 + -0.2x) = 77.25

Reorder the terms:
56 + 0.45x + -0.2x = 77.25

Combine like terms: 0.45x + -0.2x = 0.25x
56 + 0.25x = 77.25

Solving
56 + 0.25x = 77.25

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 0.25x = 77.25 + -56

Combine like terms: 56 + -56 = 0
0 + 0.25x = 77.25 + -56
0.25x = 77.25 + -56

Combine like terms: 77.25 + -56 = 21.25
0.25x = 21.25

Divide each side by '0.25'.
x = 85

Simplifying
x = 85

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