Solve for X in the Equation: 3 - x = 10 - 6

Q: Why do I simplify the right side first?

Simplifying 10 - 6 = 4 first makes the equation cleaner and easier to work with. It's like cleaning your workspace before starting the main task!

Q: How do I handle the negative x when isolating?

When you get $ -x = 1 $, multiply both sides by -1 to get $ x = -1 $. Remember: multiplying by -1 flips the sign!

Q: Why is my answer negative?

Negative answers are completely normal! The equation $ 3 - x = 4 $ means we need a number that, when subtracted from 3, gives us 4. That number is -1.

Q: What if I subtract x from both sides instead?

You could do that, but you'd get $ 3 = 4 + x $, then $ -1 = x $. Same answer! There are often multiple correct approaches in algebra.

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

Substitute back: $ 3 - (-1) = 3 + 1 = 4 $ and $ 10 - 6 = 4 $. Both sides equal 4, so x = -1 is correct!

Linear Equations with Order of Operations

Solve for X:

$3 - x = 10 - 6$

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Understand the problem

Solve for X:

$3 - x = 10 - 6$

Step-by-step solution

First, simplify the right side of the equation:
$10 - 6 = 4$
Hence, the equation becomes $3 - x = 4$ .
Subtract 3 from both sides to isolate $x$ :
$3 - x - 3 = 4 - 3$
This simplifies to:
$-x=1$
Divide by -1 to solve for $x$ :
$x=-1$
Therefore, the solution is $x = 1$ .

Final Answer

-1

Key Points to Remember

Essential concepts to master this topic

Rule: Simplify both sides completely before isolating the variable
Technique: Calculate 10 - 6 = 4, then solve 3 - x = 4
Check: Substitute x = -1: 3 - (-1) = 4 and 10 - 6 = 4 ✓

Common Mistakes

Avoid these frequent errors

Moving terms before simplifying right side
Don't immediately start moving x terms without simplifying 10 - 6 first = wrong setup! This creates confusion with multiple operations happening at once. Always simplify each side completely before isolating variables.

Practice Quiz

Test your knowledge with interactive questions

Solve the equation

$$ 5x-15=30 $$

FAQ

Everything you need to know about this question

Why do I simplify the right side first?

Simplifying 10 - 6 = 4 first makes the equation cleaner and easier to work with. It's like cleaning your workspace before starting the main task!

How do I handle the negative x when isolating?

When you get $-x = 1$ , multiply both sides by -1 to get $x = -1$ . Remember: multiplying by -1 flips the sign!

Why is my answer negative?

Negative answers are completely normal! The equation $3 - x = 4$ means we need a number that, when subtracted from 3, gives us 4. That number is -1.

What if I subtract x from both sides instead?

You could do that, but you'd get $3 = 4 + x$ , then $-1 = x$ . Same answer! There are often multiple correct approaches in algebra.

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

Substitute back: $3 - (-1) = 3 + 1 = 4$ and $10 - 6 = 4$ . Both sides equal 4, so x = -1 is correct!

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Solve for X in the Equation: 3 - x = 10 - 6

Linear Equations with Order of 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 do I simplify the right side first?

How do I handle the negative x when isolating?

Why is my answer negative?

What if I subtract x from both sides instead?

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

🌟 Unlock Your Math Potential

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