(a+b)+c=a+(b+a)

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Solution for (a+b)+c=a+(b+a) equation:


Simplifying
(a + b) + c = a + (b + a)

Remove parenthesis around (a + b)
a + b + c = a + (b + a)

Reorder the terms:
a + b + c = a + (a + b)

Remove parenthesis around (a + b)
a + b + c = a + a + b

Combine like terms: a + a = 2a
a + b + c = 2a + b

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

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

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

Solving
a + c = 2a

Solving for variable 'a'.

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

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

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

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

Add '-1c' to each side of the equation.
-1a + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
-1a + 0 = 0 + -1c
-1a = 0 + -1c
Remove the zero:
-1a = -1c

Divide each side by '-1'.
a = c

Simplifying
a = c

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