Math Problem Statement
Simplify the expression:(3x-8)+(2x+5)-(4x-8)
Solution
To simplify the expression , we follow these steps:
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Distribute the minus sign across the third group, . This will change the signs of each term inside the parentheses.
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Combine like terms:
- Combine the -terms:
- Combine the constant terms:
So, the simplified expression is:
Would you like further clarification or have any additional questions?
Related Questions:
- How do you handle terms with different powers of in similar expressions?
- What happens when you have more than one negative sign in an expression?
- Can you simplify an expression involving fractions in a similar way?
- How can you factor the expression ?
- What are the common mistakes to avoid when combining like terms?
Tip: Always remember to distribute the negative signs carefully when subtracting terms.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of Expressions
Combining Like Terms
Distributive Property
Formulas
Distributive property: a(b + c) = ab + ac
Combining like terms: ax + bx = (a+b)x
Theorems
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Suitable Grade Level
Grades 6-8