2x=(y+x)+(y-x)

Solution for 2x=(y+x)+(y-x) equation:

Simplifying
2x = (y + x) + (y + -1x)

Reorder the terms:
2x = (x + y) + (y + -1x)

Remove parenthesis around (x + y)
2x = x + y + (y + -1x)

Reorder the terms:
2x = x + y + (-1x + y)

Remove parenthesis around (-1x + y)
2x = x + y + -1x + y

Reorder the terms:
2x = x + -1x + y + y

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

Combine like terms: y + y = 2y
2x = 2y

Solving
2x = 2y

Solving for variable 'x'.

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

Divide each side by '2'.
x = y

Simplifying
x = y