x-a=a-x

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Solution for x-a=a-x equation:


Simplifying
x + -1a = a + -1x

Reorder the terms:
-1a + x = a + -1x

Solving
-1a + x = a + -1x

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1a + -1a + x = a + -1a + -1x

Combine like terms: -1a + -1a = -2a
-2a + x = a + -1a + -1x

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

Add '-1x' to each side of the equation.
-2a + x + -1x = -1x + -1x

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

Combine like terms: -1x + -1x = -2x
-2a = -2x

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

Simplifying
a = x

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