(-2x-1)-(x-7)

less than a minute read Jun 16, 2024
(-2x-1)-(x-7)

Simplifying the Expression: (-2x-1)-(x-7)

This article will walk you through the steps of simplifying the expression (-2x-1)-(x-7).

Understanding the Expression

The expression involves subtracting two binomials:

  • (-2x - 1)
  • (x - 7)

Simplifying the Expression

  1. Distribute the negative sign: Since we are subtracting the entire second binomial, we need to distribute the negative sign:

    (-2x - 1) - (x - 7) = -2x - 1 - x + 7

  2. Combine like terms: Identify the terms with the same variable and constants and group them together.

    -2x - x - 1 + 7

  3. Simplify: Perform the operations on the grouped terms.

    -3x + 6

Final Result

Therefore, the simplified form of the expression (-2x-1)-(x-7) is -3x + 6.