Solve the Linear Equation: 5+0+8x-5 Step by Step

Q: Why does adding zero not change anything?

Zero is the additive identity, meaning any number plus zero equals the original number. So $ 5 + 0 = 5 $ and $ 8x + 0 = 8x $.

Q: What are like terms exactly?

Like terms have the same variable with the same exponent. Constants (numbers without variables) are like terms with each other, and terms with x are like terms with each other.

Q: Can I rearrange the terms in any order?

Yes! Addition is commutative, so you can rearrange terms. Many students find it easier to group all constants together first, then variable terms.

Q: How do I know when an expression is fully simplified?

An expression is simplified when you've combined all like terms and removed any unnecessary zeros or ones. No further combining should be possible.

Simplifying Expressions with Zero Terms

$5+0+8x-5=$

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Understand the problem

$5+0+8x-5=$

Step-by-step solution

To simplify the expression $5 + 0 + 8x - 5$ , follow these steps:

Step 1: Identify and group like terms. In this case, there are constants (5, 0, -5) and a term with a variable (8x).
Step 2: Combine the constants: $5 + 0 - 5$ .
Step 3: Calculate: $5 - 5 = 0$ .

Now, our expression simplifies to $0 + 8x$ , which is simply $8x$ .

Therefore, the simplified expression is $8x$ .

Final Answer

$8X$

Key Points to Remember

Essential concepts to master this topic

Like Terms: Combine constants separately from variable terms always
Technique: Group constants first: $5 + 0 - 5 = 0$
Check: Final simplified form has no unnecessary terms or zeros ✓

Common Mistakes

Avoid these frequent errors

Incorrectly combining variable and constant terms
Don't add constants to variable terms like 5 + 8x = 13x! This violates basic algebra rules and gives completely wrong expressions. Always keep constants and variables separate when simplifying.

Practice Quiz

Test your knowledge with interactive questions

$3x+4x+7+2=\text{?}$

FAQ

Everything you need to know about this question

Why does adding zero not change anything?

Zero is the additive identity, meaning any number plus zero equals the original number. So $5 + 0 = 5$ and $8x + 0 = 8x$ .

What are like terms exactly?

Like terms have the same variable with the same exponent. Constants (numbers without variables) are like terms with each other, and terms with x are like terms with each other.

Can I rearrange the terms in any order?

Yes! Addition is commutative, so you can rearrange terms. Many students find it easier to group all constants together first, then variable terms.

What if I get zero as my final answer?

If all terms cancel out to zero, that's your answer! But in this problem, we have $8x$ remaining, so the expression doesn't equal zero.

How do I know when an expression is fully simplified?

An expression is simplified when you've combined all like terms and removed any unnecessary zeros or ones. No further combining should be possible.

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