x+y-6=0

Solution for x+y-6=0 equation:

Simplifying
x + y + -6 = 0

Reorder the terms:
-6 + x + y = 0

Solving
-6 + x + y = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + x + 6 + y = 0 + 6

Reorder the terms:
-6 + 6 + x + y = 0 + 6

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

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

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

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

Simplifying
x = 6 + -1y