5000=(2x-2000)+(2y-2000)+(2z-2000)

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Solution for 5000=(2x-2000)+(2y-2000)+(2z-2000) equation: 


Simplifying
5000 = (2x + -2000) + (2y + -2000) + (2z + -2000)

Reorder the terms:
5000 = (-2000 + 2x) + (2y + -2000) + (2z + -2000)

Remove parenthesis around (-2000 + 2x)
5000 = -2000 + 2x + (2y + -2000) + (2z + -2000)

Reorder the terms:
5000 = -2000 + 2x + (-2000 + 2y) + (2z + -2000)

Remove parenthesis around (-2000 + 2y)
5000 = -2000 + 2x + -2000 + 2y + (2z + -2000)

Reorder the terms:
5000 = -2000 + 2x + -2000 + 2y + (-2000 + 2z)

Remove parenthesis around (-2000 + 2z)
5000 = -2000 + 2x + -2000 + 2y + -2000 + 2z

Reorder the terms:
5000 = -2000 + -2000 + -2000 + 2x + 2y + 2z

Combine like terms: -2000 + -2000 = -4000
5000 = -4000 + -2000 + 2x + 2y + 2z

Combine like terms: -4000 + -2000 = -6000
5000 = -6000 + 2x + 2y + 2z

Solving
5000 = -6000 + 2x + 2y + 2z

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5000 + -2x = -6000 + 2x + 2y + -2x + 2z

Reorder the terms:
5000 + -2x = -6000 + 2x + -2x + 2y + 2z

Combine like terms: 2x + -2x = 0
5000 + -2x = -6000 + 0 + 2y + 2z
5000 + -2x = -6000 + 2y + 2z

Add '-5000' to each side of the equation.
5000 + -5000 + -2x = -6000 + 2y + -5000 + 2z

Combine like terms: 5000 + -5000 = 0
0 + -2x = -6000 + 2y + -5000 + 2z
-2x = -6000 + 2y + -5000 + 2z

Reorder the terms:
-2x = -6000 + -5000 + 2y + 2z

Combine like terms: -6000 + -5000 = -11000
-2x = -11000 + 2y + 2z

Divide each side by '-2'.
x = 5500 + -1y + -1z

Simplifying
x = 5500 + -1y + -1z

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