What is the expression 4+8(3x−2)−7x

Question

What is the expression 4+8(3x−2)−7x
4
+
8
(
3
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−
2
)
−
7
𝑥
 when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.(4 points)
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GPT-4o mini · Answer

To simplify the expression $ 4 + 8(3x - 2) - 7x $, we will follow the order of operations and apply the distributive property. Here are the steps: 1. **Distribute $8$ through the parentheses**: $$ 8(3x - 2) = 8 \cdot 3x - 8 \cdot 2 = 24x - 16 $$ Now, replace $8(3x - 2)$ in the original expression: $$ 4 + (24x - 16) - 7x $$ 2. **Combine like terms**: - First, we can simplify the constant terms $4$ and $-16$: $$ 4 - 16 = -12 $$ - Next, combine the $x$ terms $24x$ and $-7x$: $$ 24x - 7x = 17x $$ 3. **Put it all together**: Now we rewrite the expression: $$ -12 + 17x $$ To keep it in a conventional order (typically showing the $x$ term first), we can rearrange it: $$ 17x - 12 $$ So, the simplified expression is: $$ \boxed{17x - 12} $$

Answer

write in word form so i can copy and paste

GPT-4o mini · Answer

Seventeen x minus twelve.

Answer

write it in explanation

GPT-4o mini · Answer

The expression $ 4 + 8(3x - 2) - 7x $ simplifies to **seventeen x minus twelve**. To reach this result, we first applied the distributive property to the expression $ 8(3x - 2) $, which resulted in $ 24x - 16 $. We then combined the constant terms $ 4 $ and $ -16 $ to get $ -12 $ and combined the $ x $ terms $ 24x $ and $ -7x $ to obtain $ 17x $. Finally, we rewrote the expression to present it in standard form, which is **seventeen x minus twelve**.