Solve for X: Finding the Value in 8x × 10 = 80

Q: Should I multiply 8 and 10 together first?

Yes! When you have $ 8x \cdot 10 $, this equals $ 80x $. Always simplify the coefficient before isolating the variable.

Q: Why can't I just divide by 8 first?

If you divide by 8 first, you get $ x \cdot 10 = 10 $, which gives x = 1. But this ignores that the original coefficient was 80, not 10!

Q: What's the difference between 8x × 10 and 8(x × 10)?

$ 8x \times 10 $ means multiply 8x by 10, giving 80x. But $ 8(x \times 10) $ means multiply 8 by (x times 10), which is different!

Q: How do I check if x = 1 is really correct?

Substitute back: $ 8(1) \times 10 = 8 \times 10 = 80 $ ✓. Since this equals the right side (80), x = 1 is correct!

Q: Could there be other values of x that work?

No! Linear equations like this have exactly one solution. Once you find x = 1 and verify it works, that's the only answer.

Linear Equations with Multiplication Operations

Solve the equation

$8x\cdot10=80$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Divide to eliminate the multiplication

00:15 Simplify what we can

00:21 Isolate the unknown X, and calculate

00:31 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the equation

$8x\cdot10=80$

Step-by-step solution

To solve this linear equation, we need to isolate the variable $x$ . Here are the steps to follow:

Step 1: Simplify the equation by dividing both sides by 10. This gives us:

$\frac{8x \cdot 10}{10} = \frac{80}{10}$

This simplifies to:

$8x = 8$

Step 2: Now, isolate $x$ by dividing both sides by 8:

$\frac{8x}{8} = \frac{8}{8}$

This simplifies to:

$x = 1$

Therefore, the solution to the equation $8x \cdot 10 = 80$ is

$x = 1$ .

Final Answer

$x=1$

Key Points to Remember

Essential concepts to master this topic

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Common Mistakes

Avoid these frequent errors

Dividing by only one factor instead of the entire coefficient
Don't divide 80 by just 8 or just 10 = wrong coefficient remains! This leaves you with 8x = 10 or x · 10 = 10, giving incorrect answers like x = 1.25 or x = 1. Always first simplify 8x · 10 to 80x, then divide both sides by 80.

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

$$ x - 3 + 5 = 8 - 2 $$

FAQ

Everything you need to know about this question

Should I multiply 8 and 10 together first?

Yes! When you have $8x \cdot 10$ , this equals $80x$ . Always simplify the coefficient before isolating the variable.

Why can't I just divide by 8 first?

If you divide by 8 first, you get $x \cdot 10 = 10$ , which gives x = 1. But this ignores that the original coefficient was 80, not 10!

What's the difference between 8x × 10 and 8(x × 10)?

$8x \times 10$ means multiply 8x by 10, giving 80x. But $8(x \times 10)$ means multiply 8 by (x times 10), which is different!

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

Substitute back: $8(1) \times 10 = 8 \times 10 = 80$ ✓. Since this equals the right side (80), x = 1 is correct!

Could there be other values of x that work?

No! Linear equations like this have exactly one solution. Once you find x = 1 and verify it works, that's the only answer.

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Solve for X: Finding the Value in 8x × 10 = 80

Linear Equations with Multiplication Operations

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Should I multiply 8 and 10 together first?

Why can't I just divide by 8 first?

What's the difference between 8x × 10 and 8(x × 10)?

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

Could there be other values of x that work?

🌟 Unlock Your Math Potential

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