Question

How do you simplify `-2+3(-5*2-6/3)` using PEMDAS?

Answer 1

`-38`

Explanation:

Rather thanblindly following PEDMAS, BODMAS or whatever form you know .... work with TERMS.
Do Brackets first, then from strongest to weakest operations

There are 2 terms. Work out each separately.

Inside the bracket there are 2 terms. Work out each separately.

`color(lime)(-2)+3(color(red)(-5xx2)-color(blue)(6/3))`

`=color(lime)(-2)+3(color(red)(-10)-color(blue)(2))" "larr`work out terms inside the bracket

`=color(lime)(-2)+color(magenta)(3xx(-12))" "larr` now multiply

`=color(lime)(-2)color(magenta)(-36)" "larr` add or subtract happens last.

`-38`

Note that the -2 term was in its simplest form and was not used at all until the last line.