Solve the Equation 3 + X = 4 and Discover X

Basic Linear Equations with Single Operations

Solve for X:

3+x=4 3+x=4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Isolate the unknown X
00:16 Simplify what we can
00:20 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for X:

3+x=4 3+x=4

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the given equation 3+x=4 3 + x = 4 .
  • Step 2: Use subtraction to isolate the variable x x .

Now, let's work through these steps:
Step 1: We have the equation: 3+x=4 3 + x = 4 .
Step 2: Subtract 3 from both sides of the equation to isolate x x :

3+x−3=4−3 3 + x - 3 = 4 - 3

This simplifies to:

x=1 x = 1

Therefore, the solution to the equation is x=1 x = 1 .

3

Final Answer

1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Use inverse operations to isolate the variable completely
  • Technique: Subtract 3 from both sides: 4−3=1 4 - 3 = 1
  • Check: Substitute back: 3+1=4 3 + 1 = 4 confirms our answer ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting from only one side of the equation
    Don't subtract 3 from just the left side = x=4 x = 4 ! This breaks the balance and creates a false equation. Always perform the same operation on both sides to maintain equality.

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 3 instead of adding it?

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Since we have 3+x=4 3 + x = 4 , we need to undo the addition of 3. The inverse operation of addition is subtraction, so we subtract 3 from both sides.

What does 'isolate the variable' mean?

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Isolating the variable means getting x by itself on one side of the equation. We want to see x= x = some number, with nothing else attached to x.

Do I always subtract when solving equations like this?

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Not always! It depends on what's happening to x. If you see x−3=4 x - 3 = 4 , you'd add 3 to both sides. Use the opposite operation of what you see.

How can I check if x = 1 is really correct?

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Substitute 1 for x in the original equation: 3+1=4 3 + 1 = 4 . Since this gives us 4 = 4, which is true, our answer is correct!

What if I get a different answer when I check?

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If your check doesn't work, you made an error somewhere. Go back and redo each step carefully, making sure you perform the same operation on both sides of the equation.

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