Math Problem Statement

(3x - 2) - (7x - 5)

Solution

To simplify the expression (3x2)(7x5)(3x - 2) - (7x - 5), follow these steps:

  1. Distribute the negative sign across the second set of parentheses: (3x2)7x+5(3x - 2) - 7x + 5

  2. Combine like terms:

    • Combine the xx terms: 3x7x=4x3x - 7x = -4x
    • Combine the constant terms: 2+5=3-2 + 5 = 3

The simplified expression is: 4x+3-4x + 3

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. Simplify (5x+3)(2x+7)(5x + 3) - (2x + 7).
  2. Expand and simplify 2(4x1)3(x+2)2(4x - 1) - 3(x + 2).
  3. What is the result of (6x4)+(2x+5)(6x - 4) + (2x + 5)?
  4. Solve for xx in the equation (3x2)(7x5)=0(3x - 2) - (7x - 5) = 0.
  5. Simplify the expression (8x3)+(25x)(8x - 3) + (2 - 5x).

Tip: Always distribute any negative sign or coefficient outside parentheses before combining like terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9