-(x-7).jpeg "(2x-6)-(x-7)")
Simplifying the Expression (2x-6)-(x-7)
This article will guide you through the process of simplifying the algebraic expression (2x-6)-(x-7).
Understanding the Expression
The expression (2x-6)-(x-7) involves combining terms with the variable 'x' and constant terms. To simplify it, we need to apply the distributive property and combine like terms.
Applying the Distributive Property
The minus sign before the second set of parentheses indicates that we need to distribute it to both terms inside:
(2x - 6) + (-1 * x) + (-1 * -7)
This simplifies to:
2x - 6 - x + 7
Combining Like Terms
Now, we can combine the terms with 'x' and the constant terms:
(2x - x) + (-6 + 7)
This results in:
x + 1
Conclusion
Therefore, the simplified form of the expression (2x-6)-(x-7) is x + 1. This process demonstrates the importance of carefully applying the distributive property and combining like terms when simplifying algebraic expressions.