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(5x-2)-(4x+6)

less than a minute read Jun 16, 2024
(5x-2)-(4x+6)

Simplifying the Expression: (5x-2)-(4x+6)

This article will guide you through the process of simplifying the algebraic expression: (5x-2)-(4x+6)

Understanding the Steps

Simplifying an expression means combining like terms to make it easier to understand and work with. We'll use the following steps:

  1. Distribute the negative sign: The minus sign in front of the parentheses means we multiply each term inside the second parentheses by -1.
  2. Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.

Step-by-Step Solution

  1. Distribute the negative sign: (5x - 2) + (-1)(4x + 6) = 5x - 2 - 4x - 6

  2. Combine like terms: (5x - 4x) + (-2 - 6) = x - 8

Conclusion

Therefore, the simplified form of the expression (5x-2)-(4x+6) is x - 8.

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