2-3(x+2)(3-6)=(3-7).4

Solution for 2-3(x+2)(3-6)=(3-7).4 equation:

Simplifying
2 + -3(x + 2)(3 + -6) = (3 + -7) * 0.4

Reorder the terms:
2 + -3(2 + x)(3 + -6) = (3 + -7) * 0.4

Combine like terms: 3 + -6 = -3
2 + -3(2 + x)(-3) = (3 + -7) * 0.4

Reorder the terms for easier multiplication:
2 + -3 * -3(2 + x) = (3 + -7) * 0.4

Multiply -3 * -3
2 + 9(2 + x) = (3 + -7) * 0.4
2 + (2 * 9 + x * 9) = (3 + -7) * 0.4
2 + (18 + 9x) = (3 + -7) * 0.4

Combine like terms: 2 + 18 = 20
20 + 9x = (3 + -7) * 0.4

Combine like terms: 3 + -7 = -4
20 + 9x = (-4) * 0.4

Multiply -4 * 0.4
20 + 9x = -1.6

Solving
20 + 9x = -1.6

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 = -1.6 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = -1.6 + -20
9x = -1.6 + -20

Combine like terms: -1.6 + -20 = -21.6
9x = -21.6

Divide each side by '9'.
x = -2.4

Simplifying
x = -2.4