2(x+3)+3y=0

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

Simplifying
2(x + 3) + 3y = 0

Reorder the terms:
2(3 + x) + 3y = 0
(3 * 2 + x * 2) + 3y = 0
(6 + 2x) + 3y = 0

Solving
6 + 2x + 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 + 2x + -6 + 3y = 0 + -6

Reorder the terms:
6 + -6 + 2x + 3y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 3y = 0 + -6
2x + 3y = 0 + -6

Combine like terms: 0 + -6 = -6
2x + 3y = -6

Add '-3y' to each side of the equation.
2x + 3y + -3y = -6 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = -6 + -3y
2x = -6 + -3y

Divide each side by '2'.
x = -3 + -1.5y

Simplifying
x = -3 + -1.5y