(x-1)+(x-2)+x=0

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Solution for (x-1)+(x-2)+x=0 equation:


Simplifying
(x + -1) + (x + -2) + x = 0

Reorder the terms:
(-1 + x) + (x + -2) + x = 0

Remove parenthesis around (-1 + x)
-1 + x + (x + -2) + x = 0

Reorder the terms:
-1 + x + (-2 + x) + x = 0

Remove parenthesis around (-2 + x)
-1 + x + -2 + x + x = 0

Reorder the terms:
-1 + -2 + x + x + x = 0

Combine like terms: -1 + -2 = -3
-3 + x + x + x = 0

Combine like terms: x + x = 2x
-3 + 2x + x = 0

Combine like terms: 2x + x = 3x
-3 + 3x = 0

Solving
-3 + 3x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 0 + 3

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

Combine like terms: 0 + 3 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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