20(10-x)-200(9-x)=2000

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Solution for 20(10-x)-200(9-x)=2000 equation:


Simplifying
20(10 + -1x) + -200(9 + -1x) = 2000
(10 * 20 + -1x * 20) + -200(9 + -1x) = 2000
(200 + -20x) + -200(9 + -1x) = 2000
200 + -20x + (9 * -200 + -1x * -200) = 2000
200 + -20x + (-1800 + 200x) = 2000

Reorder the terms:
200 + -1800 + -20x + 200x = 2000

Combine like terms: 200 + -1800 = -1600
-1600 + -20x + 200x = 2000

Combine like terms: -20x + 200x = 180x
-1600 + 180x = 2000

Solving
-1600 + 180x = 2000

Solving for variable 'x'.

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

Add '1600' to each side of the equation.
-1600 + 1600 + 180x = 2000 + 1600

Combine like terms: -1600 + 1600 = 0
0 + 180x = 2000 + 1600
180x = 2000 + 1600

Combine like terms: 2000 + 1600 = 3600
180x = 3600

Divide each side by '180'.
x = 20

Simplifying
x = 20

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