Question

Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps listed will be used.

2(x - 4) - 2x = 2x - 10

4 boxes

O 8 = 2x - 10
O - 8 = 2x - 10
O 2 = 2x
O 2x + 8 - 2x = 2x - 10
O 2x - 8 - 2x = 2x - 10
O 18 = 2x
O x = 9
O x = 1

Answer 1

[AI-generated answer — Bot GPT 3.5]

O 2(x - 4) - 2x = 2x - 10

O 2x + 8 - 2x = 2x - 10
O 18 = 2x
O x = 9

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct order of steps to solve the equation for x is:

1. 2(x - 4) - 2x = 2x - 10 (original equation)
2. Distribute the 2 on the left side: 2x - 8 - 2x = 2x - 10
3. Combine like terms on the left side: -8 = 2x - 10
4. Add 10 to both sides: -8 + 10 = 2x - 10 + 10
5. Simplify: 2 = 2x
6. Divide both sides by 2: 2/2 = 2x/2
7. Simplify: 1 = x

Therefore, the correct order of steps is:

O 2(x - 4) - 2x = 2x - 10
O 2x - 8 - 2x = 2x - 10
O -8 = 2x - 10
O -8 + 10 = 2x - 10 + 10
O 2 = 2x
O 2/2 = 2x/2
O 1 = x

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 2(x - 4) - 2x = 2x - 10, follow these steps in order:

Step 1: Distribute the 2 to both terms within the parentheses:
2 * x = 2x and 2 * -4 = -8
The equation becomes: 2x - 8 - 2x = 2x - 10

Step 2: Combine like terms on both sides of the equation:
2x - 2x simplifies to 0 on the left side of the equation, so the equation becomes: -8 = 2x - 10

Step 3: Isolate the variable term on one side of the equation:
To move the constant term (-10) to the left side, add 10 to both sides of the equation. This gives: -8 + 10 = 2x
Simplifying, 10 - 8 equals 2, so the equation becomes: 2 = 2x

Step 4: Solve for x by dividing both sides of the equation by 2:
Dividing both sides of the equation by 2, we get: 2/2 = x
Simplifying, 2 divided by 2 equals 1, so the equation becomes: 1 = x

In conclusion, the correct steps in order to solve the equation 2(x - 4) - 2x = 2x - 10 are:
O 2x - 8 - 2x = 2x - 10
O -8 = 2x - 10
O 2 = 2x
O x = 1