(x-2)+(x-1)+x=2013

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Solution for (x-2)+(x-1)+x=2013 equation:


Simplifying
(x + -2) + (x + -1) + x = 2013

Reorder the terms:
(-2 + x) + (x + -1) + x = 2013

Remove parenthesis around (-2 + x)
-2 + x + (x + -1) + x = 2013

Reorder the terms:
-2 + x + (-1 + x) + x = 2013

Remove parenthesis around (-1 + x)
-2 + x + -1 + x + x = 2013

Reorder the terms:
-2 + -1 + x + x + x = 2013

Combine like terms: -2 + -1 = -3
-3 + x + x + x = 2013

Combine like terms: x + x = 2x
-3 + 2x + x = 2013

Combine like terms: 2x + x = 3x
-3 + 3x = 2013

Solving
-3 + 3x = 2013

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 = 2013 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 2013 + 3
3x = 2013 + 3

Combine like terms: 2013 + 3 = 2016
3x = 2016

Divide each side by '3'.
x = 672

Simplifying
x = 672

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