x-a+b=a-b+x

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Solution for x-a+b=a-b+x equation:


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

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

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

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

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

Solving
-1a + b = a + -1b

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 + b = a + -1a + -1b

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

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

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

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

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

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

Simplifying
a = b

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