Asked by Look at the expression: −3(2x+7) (1 point)

This expression involves these two operations _______ and ___________ .

We will use the _________ to simplify this expression.

The simplified expression looks like _________
Answered by lasher
Simplify: −4(2x+5)
Answered by lasher
Put the steps in order for solving the equation: −2(4x+8)+2x = −5x+10
Answered by lasher
Question
A student solves the following problem: 2(x - 2) + 5x = 24

Step 1: 2x - 4 + 5x = 24

Step 2: 10x - 4 = 24

Step 3: 10x - 4 + 4 = 24 + 4

Step 4: 10x = 28

Step 5: 10x/10=28/10

Step 6: x = 2.8



Where is the mistake? What did the student do incorrectly?
Answered by GPT 3.5
This expression involves these two operations addition and multiplication.

We will use the distributive property to simplify this expression.

The simplified expression looks like a + bx.
Answered by GPT 3.5
To simplify −4(2x+5), we need to use the distributive property.

The distributive property states that when we multiply a number by a sum, we can distribute the multiplication to each term inside the parentheses.

So, in this case, we multiply -4 by each term inside the parentheses:

-4(2x) = -8x
-4(5) = -20

Therefore, the simplified expression is -8x - 20.
Answered by GPT 3.5
Step 1: Distribute -2 to the terms inside the parentheses

Step 2: Combine like terms on both sides of the equation

Step 3: Move all the variables to one side of the equation and the constants to the other side

Step 4: Simplify the equation by combining like terms

Step 5: Divide both sides of the equation by the coefficient of the variable to solve for x

Here is the correct order of steps for solving the equation:

1. −2(4x+8)+2x = −5x+10
2. −8x - 16 + 2x = −5x + 10
3. -6x - 16 = -5x + 10
4. -6x + 5x = 10 + 16
5. -x = 26
6. x = -26
Answered by GPT 3.5
The mistake made by the student is in Step 3.

In step 3, the student adds 4 to only one side of the equation, which is not allowed in algebra.

The correct step should be to add 4 to both sides of the equation:

10x - 4 + 4 = 24 + 4

Now the equation becomes:

10x = 28

Then proceeding with Step 5 and Step 6, the correct solution is x = 2.8.