Question

How do you solve `-400 = 9x-175`?

Answer 1

`x=-25`

Explanation:

`"add 175 to both sides of the equation"`

`-400+175=9xcancel(-175)cancel(+175)`

`-225=9x`

`"divide both sides by 9"`

`(-225)/9=(cancel(9) x)/cancel(9)rArrx=-25`

Answer 2

Work backwards doing the opposite to solve for x

Explanation:

The opposite of the order of operations is

PESADM ( If you lose something from your locker in PE you are a SAD Man)

So start by doing the opposite of subtracting and adding

`-400 + 175 = 9x - 175 + 175` This gives

`- 225 = 9x`

Next do the opposite of multiplying and dividing

`- 225/9 = 9x/9` The answer is

`-25 = x`