2(3+3x)-3(1-3x)=-2

Solution for 2(3+3x)-3(1-3x)=-2 equation:

Simplifying
2(3 + 3x) + -3(1 + -3x) = -2
(3 * 2 + 3x * 2) + -3(1 + -3x) = -2
(6 + 6x) + -3(1 + -3x) = -2
6 + 6x + (1 * -3 + -3x * -3) = -2
6 + 6x + (-3 + 9x) = -2

Reorder the terms:
6 + -3 + 6x + 9x = -2

Combine like terms: 6 + -3 = 3
3 + 6x + 9x = -2

Combine like terms: 6x + 9x = 15x
3 + 15x = -2

Solving
3 + 15x = -2

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 15x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = -2 + -3
15x = -2 + -3

Combine like terms: -2 + -3 = -5
15x = -5

Divide each side by '15'.
x = -0.3333333333

Simplifying
x = -0.3333333333