I tried many times this problem but it makes nonsense.

Which statement is NOT true?
10+6x3-2divide2=27

10x6+3-2divide2=62

10-6+3x2divide2=8

10-6x3divide2+2=3

Without parentheses to specify the order of operation, there are many ways to interpret each of those, but
10 + (6x3) - (2/2) = 27

To solve this problem, we need to properly apply the order of operations. The order of operations states that we should perform multiplication and division before addition and subtraction.

Let's break down each statement and evaluate them one by one:

Statement 1: 10 + 6 x 3 - 2 ÷ 2 = 27
We need to perform the multiplication and division operations first. Multiplying 6 by 3, we get 18. Dividing 2 by 2 gives us 1. Now, the expression becomes:
10 + 18 - 1 = 27

Statement 2: 10 x 6 + 3 - 2 ÷ 2 = 62
Again, we perform the multiplication and division operations first. Multiplying 10 by 6 gives us 60. Dividing 2 by 2 is 1. Now, the expression becomes:
60 + 3 - 1 = 62

Statement 3: 10 - 6 + 3 x 2 ÷ 2 = 8
We perform the multiplication and division operations first. Multiplying 3 by 2 yields 6. Dividing 6 by 2 is 3. Now, the expression becomes:
10 - 6 + 3 = 7

Statement 4: 10 - 6 x 3 ÷ 2 + 2 = 3
We perform the multiplication and division operations first. Multiplying 6 by 3 gives us 18. Dividing 18 by 2 yields 9. Now, the expression becomes:
10 - 9 + 2 = 3

From our evaluation, we can see that only the third statement is NOT true. The correct answer is:

Which statement is NOT true?
10 - 6 + 3 x 2 ÷ 2 + 2 = 8.