3x-6=x+y

Solution for 3x-6=x+y equation:

Simplifying
3x + -6 = x + y

Reorder the terms:
-6 + 3x = x + y

Solving
-6 + 3x = 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 + 3x + -1x = x + -1x + y

Combine like terms: 3x + -1x = 2x
-6 + 2x = x + -1x + y

Combine like terms: x + -1x = 0
-6 + 2x = 0 + y
-6 + 2x = y

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

Combine like terms: -6 + 6 = 0
0 + 2x = 6 + y
2x = 6 + y

Divide each side by '2'.
x = 3 + 0.5y

Simplifying
x = 3 + 0.5y