Solve for X: Finding the Value in 50 + 10 = 2x

Q: Why do I add 50 + 10 first instead of working with x right away?

You need to simplify the left side first because 50 + 10 are like terms that can be combined. This gives you the cleaner equation $ 60 = 2x $, making it easier to solve!

Q: Can I divide 50 by 2 and 10 by 2 separately?

No! You must treat the left side as one complete expression. Only after adding 50 + 10 = 60 can you divide both sides by 2. Dividing terms separately breaks the equation.

Q: What if I got x = 25 as my answer?

Let's check: 50 + 10 = 2(25) gives us 60 = 50, which is false! This usually happens when you divide incorrectly. Remember: $ \frac{60}{2} = 30 $, not 25.

Q: How do I know when to divide both sides?

When you have a coefficient (number) multiplied by your variable, divide both sides by that coefficient. Here, $ 2x $ means 2 times x, so divide both sides by 2.

Q: Is there a faster way to solve this?

This is already the fastest method! Simplify first, then isolate is the most reliable approach. Trying shortcuts often leads to errors, especially with more complex equations.

Linear Equations with Division Steps

Solve for X:

$50 + 10 = 2x$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve for X:

$50 + 10 = 2x$

Step-by-step solution

To solve for $x$ , we start with the equation:
$50 + 10 = 2x$

The left side simplifies to:
$60 = 2x$

To isolate $x$ , divide both sides by 2:
$\frac{60}{2} = x$

$x = 30$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Simplify one side first, then isolate the variable
Technique: Add 50 + 10 = 60, then divide: $\frac{60}{2} = 30$
Check: Substitute back: 50 + 10 = 2(30) gives 60 = 60 ✓

Common Mistakes

Avoid these frequent errors

Dividing only part of one side by 2
Don't divide just the 10 by 2 while leaving 50 alone = 50 + 5 = 55! This ignores order of operations and gives the wrong result. Always simplify the entire left side first (50 + 10 = 60), then divide both sides by 2.

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

$$ 3x=18 $$

FAQ

Everything you need to know about this question

Why do I add 50 + 10 first instead of working with x right away?

You need to simplify the left side first because 50 + 10 are like terms that can be combined. This gives you the cleaner equation $60 = 2x$ , making it easier to solve!

Can I divide 50 by 2 and 10 by 2 separately?

No! You must treat the left side as one complete expression. Only after adding 50 + 10 = 60 can you divide both sides by 2. Dividing terms separately breaks the equation.

What if I got x = 25 as my answer?

Let's check: 50 + 10 = 2(25) gives us 60 = 50, which is false! This usually happens when you divide incorrectly. Remember: $\frac{60}{2} = 30$ , not 25.

How do I know when to divide both sides?

When you have a coefficient (number) multiplied by your variable, divide both sides by that coefficient. Here, $2x$ means 2 times x, so divide both sides by 2.

Is there a faster way to solve this?

This is already the fastest method! Simplify first, then isolate is the most reliable approach. Trying shortcuts often leads to errors, especially with more complex equations.

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