Solve the Expression: 26-6+9+7-12 Step by Step

Integer Operations with Mixed Signs

266+9+712= 26-6+9+7-12=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Addition and subtraction are at the same level according to the order of operations hierarchy, thus we will solve from left to right
00:09 Continue to solve from left to right
00:19 This is the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

266+9+712= 26-6+9+7-12=

2

Step-by-step solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

266=20 26-6=20

20+9=29 20+9=29

29+7=36 29+7=36

3612=24 36-12=24

3

Final Answer

24 24

Key Points to Remember

Essential concepts to master this topic
  • Rule: Evaluate addition and subtraction from left to right
  • Technique: Work step by step: 26-6=20, then 20+9=29
  • Check: Count total additions and subtractions: +26+9+7-6-12=24 ✓

Common Mistakes

Avoid these frequent errors
  • Working operations in wrong order or grouping incorrectly
    Don't jump around the expression or group operations randomly = wrong final answer! This ignores the left-to-right rule for same-level operations. Always work from left to right when you only have addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why do I work from left to right instead of doing all additions first?

+

Addition and subtraction have equal priority in order of operations! When operations have the same level, you must work from left to right. Doing all additions first would give you the wrong answer.

Can I rewrite this as 26 + 9 + 7 - 6 - 12?

+

Yes! You can rearrange addition and subtraction terms, but be careful with the signs. 266+9+712 26-6+9+7-12 becomes 26+9+7612 26+9+7-6-12 , which still equals 24.

What if I get confused with negative numbers?

+

Think of subtraction as adding the opposite. So 266 26-6 means 26+(6) 26+(-6) . This can help you keep track of positive and negative values.

How can I check my work without redoing the whole problem?

+

Try working backwards! Start with your answer 24, then: 24+12=36, 36-7=29, 29-9=20, 20+6=26. If you get back to 26, your answer is correct!

Is there a faster way to solve this?

+

You can group positive and negative terms: (26+9+7)(6+12)=4218=24 (26+9+7) - (6+12) = 42 - 18 = 24 . But make sure you understand the left-to-right method first!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations