2(x+3)=x+y

Solution for 2(x+3)=x+y equation:

Simplifying
2(x + 3) = x + y

Reorder the terms:
2(3 + x) = x + y
(3 * 2 + x * 2) = x + y
(6 + 2x) = x + y

Solving
6 + 2x = x + y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 2x + -1x = x + -1x + y

Combine like terms: 2x + -1x = 1x
6 + 1x = x + -1x + y

Combine like terms: x + -1x = 0
6 + 1x = 0 + y
6 + 1x = y

Add '-6' to each side of the equation.
6 + -6 + 1x = -6 + y

Combine like terms: 6 + -6 = 0
0 + 1x = -6 + y
1x = -6 + y

Divide each side by '1'.
x = -6 + y

Simplifying
x = -6 + y