Question

Simplify: 6 divided by 3 x 2 - 5 + 7 x 2

Answer 1

To simplify the expression \( 6 \div 3 \times 2 - 5 + 7 \times 2 \), we follow the order of operations (PEMDAS/BODMAS):

1. **Division and Multiplication** (from left to right)
2. **Addition and Subtraction** (from left to right)

Let's break it down step by step:

1. Calculate \( 6 \div 3 \):
\[
6 \div 3 = 2
\]

2. Now, substitute back into the expression:
\[
2 \times 2 - 5 + 7 \times 2
\]

3. Next, calculate \( 2 \times 2 \):
\[
2 \times 2 = 4
\]

4. Substitute back again:
\[
4 - 5 + 7 \times 2
\]

5. Now, calculate \( 7 \times 2 \):
\[
7 \times 2 = 14
\]

6. Substitute back one more time:
\[
4 - 5 + 14
\]

7. Now, perform the subtraction and addition from left to right:
- First, do \( 4 - 5 \):
\[
4 - 5 = -1
\]
- Then add \( 14 \):
\[
-1 + 14 = 13
\]

The simplified result of the expression is:
\[
\boxed{13}
\]