3(x-2y)+6=0

Solution for 3(x-2y)+6=0 equation:

Simplifying
3(x + -2y) + 6 = 0
(x * 3 + -2y * 3) + 6 = 0
(3x + -6y) + 6 = 0

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

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

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

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

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

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

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

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

Simplifying
x = -2 + 2y