What is the expression 4+8(3x−2)−7x when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work describe as a 7th grader in short and simple sentences.

5 answers

Let's simplify the expression step by step:

The expression we have is:
4 + 8(3x - 2) - 7x

Step 1: Distribute the 8

First, we need to use the distributive property. This means we'll multiply 8 by each term inside the parentheses (3x and -2).

8(3x) = 24x
8(-2) = -16

So, we rewrite the expression:
4 + 24x - 16 - 7x

Step 2: Combine like terms

Next, we can combine the numbers and the terms that have x.

Start with the numbers:
4 - 16 = -12

Now look at the terms with x:
24x - 7x = 17x

Now, we can rewrite the expression:
17x - 12

Final Answer

So, the simplified expression is:
17x - 12

This is our final answer!

can you shorten it alot more

Sure! Here’s a shorter version:

  1. Start with the expression:
    4 + 8(3x - 2) - 7x

  2. Distribute 8:
    4 + 24x - 16 - 7x

  3. Combine like terms:

    • Numbers: 4 - 16 = -12
    • x terms: 24x - 7x = 17x
  4. Final answer:
    17x - 12

change it all to text

Sure! Here’s the simplified process in text form:

Start with the expression: "4 + 8(3x - 2) - 7x."

First, distribute the 8: "4 + 24x - 16 - 7x."

Next, combine like terms. For the numbers, subtract: "4 - 16 equals -12." For the x terms, subtract: "24x - 7x equals 17x."

The final simplified expression is "17x - 12."