Math Problem Statement

Simplify  −5(2x−1)+3x

Solution

To simplify the expression 5(2x1)+3x-5(2x - 1) + 3x, follow these steps:

  1. Distribute 5-5 into the parentheses: 5(2x)+(5)(1)+3x=10x+5+3x-5(2x) + (-5)(-1) + 3x = -10x + 5 + 3x

  2. Combine like terms: 10x+3x+5=7x+5-10x + 3x + 5 = -7x + 5

So, the simplified expression is: 7x+5\boxed{-7x + 5}

Do you want more details or have any questions? Here are some related questions you might find interesting:

  1. What would the expression look like if we set it equal to zero?
  2. How would you solve for xx in the equation 7x+5=0-7x + 5 = 0?
  3. Can you graph the expression 7x+5-7x + 5?
  4. What happens if we change the coefficients in the original expression?
  5. How does the simplification change if we add a constant to the original expression?

Tip: When simplifying expressions, always look for like terms to combine, and remember to distribute carefully!

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Math Problem Analysis

Mathematical Concepts

Algebra
Expression Simplification

Formulas

Distributive Property
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 6-8