2a+b=2b-a

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Solution for 2a+b=2b-a equation:


Simplifying
2a + b = 2b + -1a

Reorder the terms:
2a + b = -1a + 2b

Solving
2a + b = -1a + 2b

Solving for variable 'a'.

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

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

Combine like terms: 2a + a = 3a
3a + b = -1a + a + 2b

Combine like terms: -1a + a = 0
3a + b = 0 + 2b
3a + b = 2b

Add '-1b' to each side of the equation.
3a + b + -1b = 2b + -1b

Combine like terms: b + -1b = 0
3a + 0 = 2b + -1b
3a = 2b + -1b

Combine like terms: 2b + -1b = 1b
3a = 1b

Divide each side by '3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b

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