Algebra 1

5-3 -[-(-9)]+13
Show steps

To simplify the expression 5-3 -[-(-9)]+13, we'll start by simplifying the innermost parentheses:

-(-9) = 9

Now, we can simplify the expression further:

5 - 3 - 9 + 13

Next, we perform the subtraction and addition operations from left to right:

5 - 3 = 2

2 - 9 = -7

-7 + 13 = 6

Therefore, the simplified expression is 6.

To simplify the expression 5-3 -[-(-9)]+13, we will follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Step 1: Simplify the innermost parentheses
First, let's simplify -(-9). The double negative turns into a positive, so -(-9) is equal to 9.

So, we have 5-3 -[9]+13.

Step 2: Simplify the brackets
Next, let's simplify the expression in the brackets [-9]. Since there is no operation inside the brackets, the expression remains the same.

So, we have 5-3 -9+13.

Step 3: Perform the subtraction
Now, let's subtract 3 from 5. 5-3 equals 2.

So, we have 2 -9+13.

Step 4: Perform the addition
Next, let's add -9 to 2. 2 - 9 equals -7.

So, we have -7 + 13.

Step 5: Perform the final addition
Finally, let's add -7 and 13. -7 + 13 equals 6.

Therefore, the final simplified expression is 6.