Follow the order of operations and find the missing number: 20+5 x(?+6)-12/2=64
To find the missing number, we need to follow the order of operations, which involves performing the operations in the following order: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's break down the equation step by step:
1. 20 + 5 x (? + 6) - 12 / 2 = 64
First, let's simplify the expression within the parentheses by adding 6 to the unknown number:
2. 20 + 5 x (? + 6) - 12 / 2 = 64
20 + 5 x (? + 6) - 12 / 2 = 64
20 + 5 x (? + 6) - 6 = 64
Next, let's simplify the multiplication:
3. 20 + 5 x (? + 6) - 6 = 64
20 + 5(? + 6) - 6 = 64
To solve for the missing number, we'll isolate the unknown variable by performing operations in reverse order of operations.
First, let's distribute the 5 to (? + 6):
4. 20 + 5(? + 6) - 6 = 64
20 + 5? + 30 - 6 = 64
Combine like terms:
5. 20 + 5? + 30 - 6 = 64
44 + 5? = 64
Next, let's isolate the variable by subtracting 44 from both sides:
6. 44 + 5? = 64
5? = 64 - 44
5? = 20
Finally, to find the value of "?", divide both sides by 5:
7. 5? = 20
? = 20 / 5
? = 4
Therefore, the missing number is 4.