Simplify the Expression: 5+8-9+5x-4x Step by Step

Algebraic Simplification with Like Terms

5+89+5x4x= 5+8-9+5x-4x=

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Step-by-step video solution

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00:00 Simply
00:03 Gathering factors
00:12 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5+89+5x4x= 5+8-9+5x-4x=

2

Step-by-step solution

To solve this problem, we will simplify the expression 5+89+5x4x5+8-9+5x-4x by separately combining the constants and the variable terms.

Step 1: Simplify the constant terms.
5+89=45 + 8 - 9 = 4

Step 2: Simplify the variable terms.
5x4x=x5x - 4x = x

Step 3: Combine the results from steps 1 and 2.
Thus, the simplified expression is 4+x4 + x.

Therefore, the solution to the problem is 4+x4 + x, which corresponds to choice .

3

Final Answer

4+X

Key Points to Remember

Essential concepts to master this topic
  • Rule: Group constants separately from variable terms when simplifying
  • Technique: Combine like terms: 5+8-9 = 4 and 5x-4x = x
  • Check: Verify by substituting any value for x in both expressions ✓

Common Mistakes

Avoid these frequent errors
  • Combining constants and variables together
    Don't add 5+8-9+5x-4x all at once = impossible calculation! You cannot add numbers to variables directly. Always separate constants from variable terms first, then combine each group.

Practice Quiz

Test your knowledge with interactive questions

Are the expressions the same or not?

\( 3+3+3+3 \)

\( 3\times4 \)

FAQ

Everything you need to know about this question

Why can't I just combine all the terms together?

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You can only combine like terms! Numbers can only be added to numbers, and variables can only be combined with variables that have the same letter and exponent.

What are like terms exactly?

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Like terms have the same variable part. For example: 5x 5x and 4x -4x are like terms because they both have 'x'. But 5 and 5x 5x are not like terms.

Do I have to do constants first?

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Not necessarily! You can simplify variable terms first if you prefer. The important thing is to keep like terms separate until you combine them properly.

What if I have more variables like y or z?

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Same rules apply! Group all constants together, all x-terms together, all y-terms together, etc. Each different variable creates its own group of like terms.

How do I know my final answer is correct?

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Pick any number for x (like x = 2) and substitute it into both the original expression and your simplified answer. If you get the same result from both, you're correct! 5+89+5(2)4(2)=4+2=6 5+8-9+5(2)-4(2) = 4+2 = 6

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