Answer :

Sure, let's solve the equation step-by-step.

1. Solve the inner parentheses first:

- For [tex]\((-3 + 2)\)[/tex]:
[tex]\[ -3 + 2 = -1 \][/tex]

- For [tex]\((-12 - 4)\)[/tex]:
[tex]\[ -12 - 4 = -16 \][/tex]

- For [tex]\((-4 + 6)\)[/tex]:
[tex]\[ -4 + 6 = 2 \][/tex]

2. Multiply the results of the inner parentheses:

- Multiply the results of [tex]\((-3 + 2)\)[/tex] and [tex]\((-12 - 4)\)[/tex]:
[tex]\[ (-1) \times (-16) = 16 \][/tex]

- For the [tex]\(3\)[/tex] term:
[tex]\[ 2 \times 3 = 6 \][/tex]

3. Add the products together:

- Now, add the results of the multiplications:
[tex]\[ 16 + 6 = 22 \][/tex]

So, the solution to the equation [tex]\((-3+2)(-12-4)+(-4+6) \times 3\)[/tex] is [tex]\(\boxed{22}\)[/tex].