Solve the Equation: What Does X Equal in x + 5 = 8?

Linear Equations with Subtraction Method

Find the value of the parameter X:

x+5=8 x+5=8

❤️ 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 Solve
00:03 Let's isolate the unknown X
00:21 We'll solve according to the order of operations from left to right
00:26 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the value of the parameter X:

x+5=8 x+5=8

2

Step-by-step solution

To solve the equation x+5=8x + 5 = 8, follow these steps:

  • Step 1: Start with the original equation:
    x+5=8x + 5 = 8.
  • Step 2: Subtract 5 from both sides of the equation to isolate xx:
    x+55=85x + 5 - 5 = 8 - 5.
  • Step 3: Simplify both sides:
    x=3x = 3.

Therefore, the solution to the equation is x=3x = 3.

The correct answer choice is: :

3

3

Final Answer

3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Use inverse operations to isolate the variable
  • Technique: Subtract 5 from both sides: 8 - 5 = 3
  • Check: Substitute back: 3 + 5 = 8 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting from only one side of equation
    Don't subtract 5 from just one side = unbalanced equation giving x = 8! This breaks the fundamental rule that both sides must stay equal. Always perform the same operation on both sides of the equation.

Practice Quiz

Test your knowledge with interactive questions

\( x+7=14 \)

\( x=\text{?} \)

FAQ

Everything you need to know about this question

Why do I subtract 5 from both sides instead of just the left side?

+

An equation is like a balanced scale - whatever you do to one side, you must do to the other side to keep it balanced. If you only subtract from one side, the equation becomes false!

What if I added 5 to both sides instead?

+

That would give you x+10=13 x + 10 = 13 , which makes the problem harder, not easier! Always use the inverse operation - if you see +5, subtract 5.

How do I know which operation to use?

+

Look at what's being done to the variable. If it's +5, subtract 5. If it's -3, add 3. Use the opposite operation to 'undo' what's there.

Can I solve this equation a different way?

+

Yes! You could think of it as 'what number plus 5 equals 8?' But the algebraic method with inverse operations works for all equations, even complex ones.

What if my answer doesn't work when I check it?

+

Go back and check your arithmetic! Make sure you subtracted correctly: 85=3 8 - 5 = 3 . If you still get it wrong, you might have made an error in your operations.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Equations (One Variable) 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