20x-0.2y-0.01z+y+z=1000

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Solution for 20x-0.2y-0.01z+y+z=1000 equation: 


Simplifying
20x + -0.2y + -0.01z + y + z = 1000

Reorder the terms:
20x + -0.2y + y + -0.01z + z = 1000

Combine like terms: -0.2y + y = 0.8y
20x + 0.8y + -0.01z + z = 1000

Combine like terms: -0.01z + z = 0.99z
20x + 0.8y + 0.99z = 1000

Solving
20x + 0.8y + 0.99z = 1000

Solving for variable 'x'.

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

Add '-0.8y' to each side of the equation.
20x + 0.8y + -0.8y + 0.99z = 1000 + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
20x + 0.0 + 0.99z = 1000 + -0.8y
20x + 0.99z = 1000 + -0.8y

Add '-0.99z' to each side of the equation.
20x + 0.99z + -0.99z = 1000 + -0.8y + -0.99z

Combine like terms: 0.99z + -0.99z = 0.00
20x + 0.00 = 1000 + -0.8y + -0.99z
20x = 1000 + -0.8y + -0.99z

Divide each side by '20'.
x = 50 + -0.04y + -0.0495z

Simplifying
x = 50 + -0.04y + -0.0495z

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