Simplify to create an equivalent expression. 8-4(-x+5) Choose 1 answer: (A) 4x-12 (B) -4x-12 (C) 4x+13 (D) 4x+5

Distribute -4: First, we need to distribute the -4 across the terms inside the parentheses. This means we will multiply -4 by -x and then -4 by 5.Simplify terms: Distributing -4 across the terms inside the parentheses gives us -4 * -x + -4 * 5, which simplifies to 4x - 20.Add to 8: Now, we add the simplified expression 4x - 20 to the 8 that is outside the parentheses. This means we will calculate 8 - (4x - 20).Combine like terms: Subtracting 4x - 20 from 8 gives us 8 - 4x + 20, because subtracting a negative is the same as adding a positive.Add constants: Finally, we combine the like terms, which are the constants 8 and 20. This gives us -4x + (8 + 20).Final expression: Adding 8 and 20 gives us 28. So the expression simplifies to -4x + 28.

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Simplify to create an equivalent expression.

8-4(-x+5)
Choose 1 answer:
(A)
4x-12
(B)
-4x-12
(C)
4x+13
(D)
4x+5

Simplify to create an equivalent expression. $\newline$ $8-4(-x+5)$ $\newline$ Choose $1$ answer: $\newline$ (A) $4x-12$ $\newline$ (B) $-4x-12$ $\newline$ (C) $4x+13$ $\newline$ (D) $4x+5$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

8-4(-x+5)

\newline

Choose

1

answer:

\newline

(A)

4x-12

\newline

(B)

-4x-12

\newline

(C)

4x+13

\newline

(D)

4x+5

Distribute $-4$ : First, we need to distribute the $-4$ across the terms inside the parentheses. This means we will multiply $-4$ by $-x$ and then $-4$ by $5$ .
Simplify terms: Distributing $-4$ across the terms inside the parentheses gives us $-4 \times -x + -4 \times 5$ , which simplifies to $4x - 20$ .
Add to $8$ : Now, we add the simplified expression $4x - 20$ to the $8$ that is outside the parentheses. This means we will calculate $8 - (4x - 20)$ .
Combine like terms: Subtracting $4x - 20$ from $8$ gives us $8 - 4x + 20$ , because subtracting a negative is the same as adding a positive.
Add constants: Finally, we combine the like terms, which are the constants $8$ and $20$ . This gives us $-4x + (8 + 20)$ .
Final expression: Adding $8$ and $20$ gives us $28$ . So the expression simplifies to $-4x + 28$ .