a+(a+1)+(a+2)=2013

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Solution for a+(a+1)+(a+2)=2013 equation:


Simplifying
a + (a + 1) + (a + 2) = 2013

Reorder the terms:
a + (1 + a) + (a + 2) = 2013

Remove parenthesis around (1 + a)
a + 1 + a + (a + 2) = 2013

Reorder the terms:
a + 1 + a + (2 + a) = 2013

Remove parenthesis around (2 + a)
a + 1 + a + 2 + a = 2013

Reorder the terms:
1 + 2 + a + a + a = 2013

Combine like terms: 1 + 2 = 3
3 + a + a + a = 2013

Combine like terms: a + a = 2a
3 + 2a + a = 2013

Combine like terms: 2a + a = 3a
3 + 3a = 2013

Solving
3 + 3a = 2013

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 3a = 2013 + -3

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

Combine like terms: 2013 + -3 = 2010
3a = 2010

Divide each side by '3'.
a = 670

Simplifying
a = 670

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