Answered

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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]
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