80x+60(420-x)=31100

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Solution for 80x+60(420-x)=31100 equation:


Simplifying
80x + 60(420 + -1x) = 31100
80x + (420 * 60 + -1x * 60) = 31100
80x + (25200 + -60x) = 31100

Reorder the terms:
25200 + 80x + -60x = 31100

Combine like terms: 80x + -60x = 20x
25200 + 20x = 31100

Solving
25200 + 20x = 31100

Solving for variable 'x'.

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

Add '-25200' to each side of the equation.
25200 + -25200 + 20x = 31100 + -25200

Combine like terms: 25200 + -25200 = 0
0 + 20x = 31100 + -25200
20x = 31100 + -25200

Combine like terms: 31100 + -25200 = 5900
20x = 5900

Divide each side by '20'.
x = 295

Simplifying
x = 295

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