5-2 [5(-2)+4(2)/ -3(3)+3(-4)]

my work : I did 5(-2) + 4(2) and -10 +8 then the bottom _9 (-12) = -2/-24
I need major help! Don't know what to do with 5-2 even.

5-2[5(-2)+4(2)/-3(3)+3(-4)]

5-2[-10+8/-3(3)+3(-4)]
5-2[-10-8-12]
5-2[-30]
5+60
65

I see you have interpreted it as

5-2[5(-2)+4(2)]/[-3(3)+3(-4)]

-9-12 = -21, not -24

= 5 - 2(-2/-21)
= 5 - 4/21
= 101/21

I fail to see how you could do all the hard stuff you did, and then say you cannot even figure 5-2 even...

Steve I watched a example with one that had nothing in front. So it threw me off because I tried to follow that example and steps. Thank you for your help

To solve the expression 5-2 [5(-2)+4(2)/ -3(3)+3(-4)], we need to follow the order of operations.

First, let's simplify the expression within the square brackets:

5(-2) + 4(2) = -10 + 8 = -2

And

-3(3) + 3(-4) = -9 + (-12) = -9 - 12 = -21

Now we can substitute these simplified values back into the original expression:

5-2 [-2 / -21]

Next, let's simplify the expression within the square brackets, taking care to remember to perform the division before the subtraction:

-2 / -21 = 2/21 (when dividing two negative numbers, the result becomes positive)

Now, substituting this value into the expression:

5-2 [2/21]

Finally, let's simplify the expression within the square brackets by performing the division:

5-2 (2/21) = 5 - (2/21 x 2) = 5 - (4/21)

To subtract a fraction, we need to have a common denominator:

5 = 5/1 and (4/21) = (4/21) x (3/3) = 12/63

Therefore, the expression becomes:

5/1 - 12/63

To subtract fractions, they need to have a common denominator. In this case, the least common multiple (LCM) of 1 and 63 is 63.

Converting 5/1 to have a denominator of 63:

(5/1) x (63/63) = 315/63

Now we can subtract:

315/63 - 12/63 = (315 - 12) / 63 = 303/63

The simplification step:

Notice that the numerator and denominator have a common factor of 3. Divide both the numerator and denominator by this common factor:

303/63 = (303/3)/(63/3) = 101/21

Therefore, the final answer is 101/21.