2-3(x+2)(3-6)=

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

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

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

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

Reorder the terms for easier multiplication:
2 + -3 * -3(2 + x) = 0

Multiply -3 * -3
2 + 9(2 + x) = 0
2 + (2 * 9 + x * 9) = 0
2 + (18 + 9x) = 0

Combine like terms: 2 + 18 = 20
20 + 9x = 0

Solving
20 + 9x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 0 + -20
9x = 0 + -20

Combine like terms: 0 + -20 = -20
9x = -20

Divide each side by '9'.
x = -2.222222222

Simplifying
x = -2.222222222