Solve for X in the Equation: x + 8 = 10

Q: Why do I subtract 8 from both sides instead of just moving it?

You're actually doing the same thing! Subtracting 8 from both sides is the mathematically correct way to 'move' the 8. This keeps the equation balanced, like a scale.

Q: What if the number was negative, like x - 5 = 3?

Then you'd add 5 to both sides instead! The key is using the opposite operation to cancel out what's with the variable.

Q: Do I always subtract the same number from both sides?

Yes! Whatever you do to one side, you must do to the other side to keep the equation balanced. This is the golden rule of algebra.

Q: What if I get the wrong answer when I check?

Go back and check your arithmetic! Make sure you used the opposite operation correctly and did the same thing to both sides of the equation.

Linear Equations with Single Variable Isolation

Solve for X:

$x + 8 = 10$

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Understand the problem

Solve for X:

$x + 8 = 10$

Step-by-step solution

To solve for $x$ , start by isolating $x$ on one side of the equation:
Subtract $8$ from both sides:
$x + 8 - 8 = 10 - 8$ simplifies to
$x = 2$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Use inverse operations to isolate the variable on one side
Technique: Subtract 8 from both sides: 10 - 8 = 2
Check: Substitute back: 2 + 8 = 10 confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting when isolating variables
Don't add 8 to both sides when you see x + 8 = adding gives x + 16 = 18! This moves you further from isolating x instead of closer. Always use the opposite operation to cancel out terms.

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 8 from both sides instead of just moving it?

You're actually doing the same thing! Subtracting 8 from both sides is the mathematically correct way to 'move' the 8. This keeps the equation balanced, like a scale.

What if the number was negative, like x - 5 = 3?

Then you'd add 5 to both sides instead! The key is using the opposite operation to cancel out what's with the variable.

Do I always subtract the same number from both sides?

Yes! Whatever you do to one side, you must do to the other side to keep the equation balanced. This is the golden rule of algebra.

How can I remember which operation to use?

Think: 'What operation would make this term zero?' If you have +8, subtract 8. If you have -3, add 3. Use the opposite!

What if I get the wrong answer when I check?

Go back and check your arithmetic! Make sure you used the opposite operation correctly and did the same thing to both sides of the equation.

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