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
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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
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Combine like terms: Identify the terms with the same variable and constants and group them together.
-2x - x - 1 + 7
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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.