8-4(-x+5) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 4x-12 (B) -4x-12 (c) 4x+13 (D) 4x+5

Distribute -4: First, distribute the -4 inside the parentheses to both terms within the parentheses. This means multiplying -4 by -x and then by +5. Calculation: -4 * -x = 4x and -4 * 5 = -20.Combine terms: Next, combine the result of the distribution with the 8 that is outside the parentheses. Calculation: 8 + 4x - 20.Combine like terms: Now, combine the like terms, which are the constants 8 and -20. Calculation: 4x + (8 - 20).Subtract to simplify: Finally, subtract 20 from 8 to get the simplified expression. Calculation: 4x - 12.

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8-4(-x+5)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
4x-12
(B)
-4x-12
(c)
4x+13
(D)
4x+5

$8-4(-x+5)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $4 x-12$ $\newline$ (B) $-4 x-12$ $\newline$ (C) $4 x+13$ $\newline$ (D) $4 x+5$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

8-4(-x+5)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

4 x-12

\newline

(B)

-4 x-12

\newline

(C)

4 x+13

\newline

(D)

4 x+5

Distribute $-4$ : First, distribute the $-4$ inside the parentheses to both terms within the parentheses. This means multiplying $-4$ by $-x$ and then by $+5$ . $\newline$ Calculation: $-4 \times -x = 4x$ and $-4 \times 5 = -20$ .
Combine terms: Next, combine the result of the distribution with the $8$ that is outside the parentheses. $\newline$ Calculation: $8 + 4x - 20$ .
Combine like terms: Now, combine the like terms, which are the constants $8$ and $-20$ . Calculation: $4x + (8 - 20)$ .
Subtract to simplify: Finally, subtract $20$ from $8$ to get the simplified expression. $\newline$ Calculation: $4x - 12$ .