Solve for X in the Equation x+7=14: Basic Algebra Practice

Linear Equations with Inverse Operations

x+7=14 x+7=14

x=? x=\text{?}

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1

Understand the problem

x+7=14 x+7=14

x=? x=\text{?}

2

Step-by-step solution

To solve the equation x+7=14 x + 7 = 14 , we aim to find the value of x x by isolating it on one side.

  • Step 1: Identify the current equation: x+7=14 x + 7 = 14 .
  • Step 2: To isolate x x , perform the inverse operation. Subtract 7 from both sides to maintain equality.
  • Step 3: Simplify both sides: x+77=147 x + 7 - 7 = 14 - 7 .
  • Step 4: This simplifies to x=7 x = 7 .

Therefore, we have found that the solution to the equation x+7=14 x + 7 = 14 is x=7 x = 7 , which matches the given answer choice 2.

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Use inverse operations to get x alone on one side
  • Technique: Subtract 7 from both sides: 14 - 7 = 7
  • Check: Substitute back: 7 + 7 = 14 confirms our answer ✓

Common Mistakes

Avoid these frequent errors
  • Only subtracting from one side of the equation
    Don't subtract 7 from just the left side = x = 14! This breaks the balance and gives wrong answers. 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 7 instead of add 7?

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Because 7 is being added to x, we need the opposite operation (subtraction) to cancel it out. Think of it as undoing what was done to x!

What does 'isolate x' actually mean?

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Isolating x means getting x completely by itself on one side of the equation. You want x= x = something, not x+7= x + 7 = something.

How do I know which operation to use?

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Look at what's happening to x and do the opposite. If something is added (+7), subtract it. If something is subtracted, add it back.

Do I always subtract the same number from both sides?

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Yes! Whatever you do to one side, you must do to the other side. This keeps the equation balanced like a scale.

What if I get a negative answer?

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Negative answers are completely normal in algebra! Just make sure to check your work by substituting back into the original equation.

Can I check my answer a different way?

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You can also think: "What number plus 7 equals 14?" Since 7 + 7 = 14, the answer must be 7. This mental check confirms our algebraic work!

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