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].
