Solve for X in 92-2x-24÷4=64: Order of Operations Challenge

Q: Why can't I just work from left to right?

Mathematical operations have a specific order (PEMDAS)! If you work left to right, you'll get the wrong equation. Always do multiplication and division first, then addition and subtraction.

Q: How do I know which operations to do first?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). In this problem, do $ x×2 $ and $ 24÷4 $ before any subtraction.

Q: How do I move terms to the other side?

To move a term, do the opposite operation to both sides. If you have $ 86-2x=64 $, subtract 86 from both sides to get $ -2x=64-86 $.

Q: Why is my final answer positive when I got -22÷(-2)?

When you divide two negative numbers, the result is positive! $ \frac{-22}{-2}=11 $ because negative divided by negative equals positive.

Q: How can I check if x=11 is correct?

Substitute back into the original equation: $ 92-11×2-24÷4 = 92-22-6 = 64 $ ✓ Since this equals 64, your answer is correct!

Linear Equations with Mixed Operations

$92-x\times2-24\colon4=64$

Calculate X.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:19 Let's perform subtraction of the numbers

00:31 We'll subtract 86 from both sides to isolate X

00:47 We'll divide by negative 2 to find what X equals

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$92-x\times2-24\colon4=64$

Calculate X.

Step-by-step solution

First, we solve the multiplication and division exercises, we will put them in parentheses to avoid confusion:

$92-(x\times2)-(24\colon4)=64$

$92-2x-6=64$

Reduce:

$86-2x=64$

Move the sides:

$-2x=64-86$

$-2x=-22$

Divide by negative 2:

$x=\frac{-22}{-2}$

$x=11$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Order of Operations: Multiplication and division must be completed before subtraction
Technique: Calculate $24÷4=6$ and $x×2=2x$ first
Check: Substitute x=11: $92-22-6=64$ ✓

Common Mistakes

Avoid these frequent errors

Solving left to right without following order of operations
Don't solve 92-x×2-24÷4 from left to right = wrong equation setup! This ignores PEMDAS and gives incorrect coefficients. Always do multiplication and division first, then handle addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

Mathematical operations have a specific order (PEMDAS)! If you work left to right, you'll get the wrong equation. Always do multiplication and division first, then addition and subtraction.

How do I know which operations to do first?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). In this problem, do $x×2$ and $24÷4$ before any subtraction.

What does the colon symbol mean in 24÷4?

The colon : is another way to write division, just like ÷. So $24:4$ means $24÷4=6$ . Both symbols mean the same thing!

How do I move terms to the other side?

To move a term, do the opposite operation to both sides. If you have $86-2x=64$ , subtract 86 from both sides to get $-2x=64-86$ .

Why is my final answer positive when I got -22÷(-2)?

When you divide two negative numbers, the result is positive! $\frac{-22}{-2}=11$ because negative divided by negative equals positive.

How can I check if x=11 is correct?

Substitute back into the original equation: $92-11×2-24÷4 = 92-22-6 = 64$ ✓ Since this equals 64, your answer is correct!

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Solve for X in 92-2x-24÷4=64: Order of Operations Challenge

Linear Equations with Mixed 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

Why can't I just work from left to right?

How do I know which operations to do first?

What does the colon symbol mean in 24÷4?

How do I move terms to the other side?

Why is my final answer positive when I got -22÷(-2)?

How can I check if x=11 is correct?

🌟 Unlock Your Math Potential

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