Solve Complex Order of Operations: -9-(15-3-[17-14]+4)+12÷3×7

Question

Solve the following equation:

$-9-(15-3-\lbrack17-14\rbrack+4)+12\colon3\times7=$

00:14 Let's solve this problem together.

00:19 First, tackle everything inside the parentheses. If you see nested ones, start with the innermost.

00:42 Next, handle each operation step by step.

01:07 Remember, multiplication and division come before addition and subtraction.

01:26 Keep solving from left to right, following the order of operations.

01:32 And there's your solution! Well done!

According to the order of arithmetic operations, we begin by solving the innermost parenthesis and the division exercise first:

$-9-(15-3-3+4)+4\times7=$

We then solve the parenthesis exercise from left to right:

$15-3-3+4=12-3+4=9+4=13$

We obtain the following exercise:

$-9-13+(4\times7)=$

We then solve the multiplication exercise and obtain:

$-9-13+28=$

Lastly we solve the exercise from left to right:

$-9-13=-22$

$-22+28=6$