(x+100)+(x+200)+x=2000

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Solution for (x+100)+(x+200)+x=2000 equation:


Simplifying
(x + 100) + (x + 200) + x = 2000

Reorder the terms:
(100 + x) + (x + 200) + x = 2000

Remove parenthesis around (100 + x)
100 + x + (x + 200) + x = 2000

Reorder the terms:
100 + x + (200 + x) + x = 2000

Remove parenthesis around (200 + x)
100 + x + 200 + x + x = 2000

Reorder the terms:
100 + 200 + x + x + x = 2000

Combine like terms: 100 + 200 = 300
300 + x + x + x = 2000

Combine like terms: x + x = 2x
300 + 2x + x = 2000

Combine like terms: 2x + x = 3x
300 + 3x = 2000

Solving
300 + 3x = 2000

Solving for variable 'x'.

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

Add '-300' to each side of the equation.
300 + -300 + 3x = 2000 + -300

Combine like terms: 300 + -300 = 0
0 + 3x = 2000 + -300
3x = 2000 + -300

Combine like terms: 2000 + -300 = 1700
3x = 1700

Divide each side by '3'.
x = 566.6666667

Simplifying
x = 566.6666667

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