Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Simplify this algebraic expression completely.

[tex]\[ 7x - 5(x + 6) \][/tex]

A. [tex]\[ 2x - 30 \][/tex]

B. [tex]\[ 2x - 1 \][/tex]

C. [tex]\[ 2x + 11 \][/tex]

D. [tex]\[ 2x + 1 \][/tex]

Sagot :

GinnyAnswer
To simplify the algebraic expression \(7x - 5(x + 6)\), follow these steps:

1. Distribute the \(-5\) inside the parentheses:
[tex]\[ -5 \cdot (x + 6) = -5x - 30 \][/tex]
Therefore, the expression \(7x - 5(x + 6)\) becomes:
[tex]\[ 7x - 5x - 30 \][/tex]

2. Combine like terms:
[tex]\[ 7x - 5x = 2x \][/tex]
So, the expression now is:
[tex]\[ 2x - 30 \][/tex]

Hence, the completely simplified expression is \(2x - 30\).

Thus, the correct answer is:
[tex]\[ \boxed{2x - 30} \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.