2010x+2011=2012x-2013

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Solution for 2010x+2011=2012x-2013 equation:


Simplifying
2010x + 2011 = 2012x + -2013

Reorder the terms:
2011 + 2010x = 2012x + -2013

Reorder the terms:
2011 + 2010x = -2013 + 2012x

Solving
2011 + 2010x = -2013 + 2012x

Solving for variable 'x'.

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

Add '-2012x' to each side of the equation.
2011 + 2010x + -2012x = -2013 + 2012x + -2012x

Combine like terms: 2010x + -2012x = -2x
2011 + -2x = -2013 + 2012x + -2012x

Combine like terms: 2012x + -2012x = 0
2011 + -2x = -2013 + 0
2011 + -2x = -2013

Add '-2011' to each side of the equation.
2011 + -2011 + -2x = -2013 + -2011

Combine like terms: 2011 + -2011 = 0
0 + -2x = -2013 + -2011
-2x = -2013 + -2011

Combine like terms: -2013 + -2011 = -4024
-2x = -4024

Divide each side by '-2'.
x = 2012

Simplifying
x = 2012

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