3y-1x+6=0

Solution for 3y-1x+6=0 equation:

Simplifying
3y + -1x + 6 = 0

Reorder the terms:
6 + -1x + 3y = 0

Solving
6 + -1x + 3y = 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 + -1x + -6 + 3y = 0 + -6

Reorder the terms:
6 + -6 + -1x + 3y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x + 3y = 0 + -6
-1x + 3y = 0 + -6

Combine like terms: 0 + -6 = -6
-1x + 3y = -6

Add '-3y' to each side of the equation.
-1x + 3y + -3y = -6 + -3y

Combine like terms: 3y + -3y = 0
-1x + 0 = -6 + -3y
-1x = -6 + -3y

Divide each side by '-1'.
x = 6 + 3y

Simplifying
x = 6 + 3y