Solve for X in the Equation: 3 + x + 1 = 6 - 2

Linear Equations with Constant Simplification

Solve for X:

3+x+1=6−2 3 + x + 1 = 6 - 2

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for X:

3+x+1=6−2 3 + x + 1 = 6 - 2

2

Step-by-step solution

To solve 3+x+1=6−2 3 + x + 1 = 6 - 2 , we first simplify both sides:

Left side:
3+1+x=4+x 3 + 1 + x = 4 + x

Right side:
6−2=4 6 - 2 = 4

Now the equation is 4+x=4 4 + x = 4 .

Subtract 4 from both sides:
x=4−4 x = 4 - 4

So, x=0 x = 0 .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Simplify: Combine like terms on each side before solving
  • Technique: 3+1=4 3 + 1 = 4 and 6−2=4 6 - 2 = 4 first
  • Check: Substitute x=0 x = 0 back: 3+0+1=4 3 + 0 + 1 = 4 and 6−2=4 6 - 2 = 4 ✓

Common Mistakes

Avoid these frequent errors
  • Trying to isolate x before simplifying constants
    Don't subtract 3 from both sides immediately = messy fractions like x+1=6−2−3 x + 1 = 6 - 2 - 3 ! This creates unnecessary complexity and increases error chances. Always combine like terms first to get 4+x=4 4 + x = 4 .

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 need to simplify both sides first?

+

Simplifying both sides first makes the equation much cleaner! Instead of working with 3+x+1=6−2 3 + x + 1 = 6 - 2 , you get the simpler 4+x=4 4 + x = 4 .

What if I forget to combine constants?

+

You'll still get the right answer, but it takes more steps and increases your chance of making arithmetic errors. Always look for constants to combine first!

How do I know which constants to combine?

+

Combine constants that are on the same side of the equation. Left side: 3+1=4 3 + 1 = 4 . Right side: 6−2=4 6 - 2 = 4 .

What does it mean when both sides equal the same number?

+

When both sides simplify to the same value (like 4), the equation becomes 4+x=4 4 + x = 4 , which means x must equal 0 to balance the equation!

Is x = 0 a real answer?

+

Absolutely! Zero is a perfectly valid solution. Many students think zero means "no answer," but it's actually a specific number that makes the equation true.

🌟 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

Solving Equations Using All Methods

Solve for X in the Equation: 2 + x - 5 = 4 - 3
Click to solve
Solve for X: Finding the Value in x + 4 - 2 = 6 + 1
Click to solve

Solving Equations by using Addition/ Subtraction

Solve for X: Finding the Solution to (x - 3 + 5 = 8 - 2)
Click to solve
Solve the Linear Equation: 2x + 4 = 3x - 5 Step by Step
Click to solve